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20801002608 = 2433292835867
BaseRepresentation
bin10011010111110101…
…100001110001110000
31222200122202102021000
4103113311201301300
5320100024040413
613320021402000
71334316414321
oct232765416160
958618672230
1020801002608
118904695151
124046269300
131c6661bc89
141014832448
1581b240073
hex4d7d61c70

20801002608 has 160 divisors (see below), whose sum is σ = 61994246400. Its totient is φ = 6669782784.

The previous prime is 20801002603. The next prime is 20801002627. The reversal of 20801002608 is 80620010802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20801002601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3542491 + ... + 3548357.

It is an arithmetic number, because the mean of its divisors is an integer number (387464040).

Almost surely, 220801002608 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 20801002608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30997123200).

20801002608 is an abundant number, since it is smaller than the sum of its proper divisors (41193243792).

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

20801002608 is a wasteful number, since it uses less digits than its factorization.

20801002608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 20801002608 in words is "twenty billion, eight hundred one million, two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 283 348 432 464 522 566 696 783 849 1044 1132 1392 1566 1698 2088 2264 2547 3132 3396 4176 4528 5094 5867 6264 6792 7641 8207 10188 11734 12528 13584 15282 16414 17601 20376 23468 24621 30564 32828 35202 40752 46936 49242 52803 61128 65656 70404 73863 93872 98484 105606 122256 131312 140808 147726 158409 170143 196968 211212 221589 281616 295452 316818 340286 393936 422424 443178 510429 590904 633636 680572 844848 886356 1020858 1181808 1267272 1361144 1531287 1660361 1772712 2041716 2534544 2722288 3062574 3320722 3545424 4083432 4593861 4981083 6125148 6641444 8166864 9187722 9962166 12250296 13282888 14943249 18375444 19924332 24500592 26565776 29886498 36750888 39848664 44829747 48150469 59772996 73501776 79697328 89659494 96300938 119545992 144451407 179318988 192601876 239091984 288902814 358637976 385203752 433354221 577805628 717275952 770407504 866708442 1155611256 1300062663 1733416884 2311222512 2600125326 3466833768 5200250652 6933667536 10400501304 20801002608