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204311400034544 = 241123631155951307
BaseRepresentation
bin101110011101000111110100…
…011011000011000011110000
3222210101222102202102112201022
4232131013310123003003300
5203234414221402101134
62002311210022555012
761015003646043515
oct5635076433030360
9883358382375638
10204311400034544
115a110a83a28970
121aab8b02598a68
138a00636964a8a
143864a2014930c
15189491d46652e
hexb9d1f46c30f0

204311400034544 has 160 divisors (see below), whose sum is σ = 451628088238080. Its totient is φ = 88631648582400.

The previous prime is 204311400034397. The next prime is 204311400034559. The reversal of 204311400034544 is 445430004113402.

It is a happy number.

204311400034544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3982109339 + ... + 3982160645.

It is an arithmetic number, because the mean of its divisors is an integer number (2822675551488).

Almost surely, 2204311400034544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204311400034544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225814044119040).

204311400034544 is an abundant number, since it is smaller than the sum of its proper divisors (247316688203536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204311400034544 is a wasteful number, since it uses less digits than its factorization.

204311400034544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53539 (or 53533 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 204311400034544 its reverse (445430004113402), we get a palindrome (649741404147946).

The spelling of 204311400034544 in words is "two hundred four trillion, three hundred eleven billion, four hundred million, thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 631 1012 1262 1559 2024 2524 3118 4048 5048 6236 6941 10096 12472 13882 14513 17149 24944 27764 29026 34298 35857 51307 55528 58052 68596 71714 102614 111056 116104 137192 143428 159643 205228 232208 274384 286856 319286 394427 410456 564377 573712 638572 788854 820912 983729 1128754 1180061 1277144 1577708 1967458 2257508 2360122 2554288 3155416 3934916 4515016 4720244 6310832 7869832 9030032 9440488 10821019 12980671 15739664 18880976 21642038 22625767 25961342 32374717 43284076 45251534 51922684 64749434 79987613 86568152 90503068 103845368 129498868 159975226 173136304 181006136 207690736 248883437 258997736 319950452 356121887 362012272 497766874 517995472 639900904 712243774 744618491 879863743 995533748 1279801808 1424487548 1489236982 1759727486 1839715099 1991067496 2848975096 2978473964 3519454972 3679430198 3982134992 5697950192 5956947928 7038909944 7358860396 8190803401 11913895856 14077819888 14717720792 16381606802 20236866089 29435441584 32763213604 40473732178 50472183803 65526427208 80947464356 100944367606 131052854416 161894928712 201888735212 323789857424 403777470424 555194021833 807554940848 1110388043666 1160860227469 2220776087332 2321720454938 4441552174664 4643440909876 8883104349328 9286881819752 12769462502159 18573763639504 25538925004318 51077850008636 102155700017272 204311400034544