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34551145512 = 2335132105167
BaseRepresentation
bin100000001011011010…
…001010010000101000
310022011221002001100000
4200023122022100220
51031230043124022
623512250543000
72332131614442
oct401332122050
9108157061300
1034551145512
1113720248014
126843137a60
133348238500
14195aa69492
15d7346b6ac
hex80b68a428

34551145512 has 144 divisors (see below), whose sum is σ = 105081762240. Its totient is φ = 10631020608.

The previous prime is 34551145507. The next prime is 34551145543. The reversal of 34551145512 is 21554115543.

34551145512 is a `hidden beast` number, since 3 + 45 + 51 + 14 + 551 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275953 + ... + 381119.

It is an arithmetic number, because the mean of its divisors is an integer number (729734460).

Almost surely, 234551145512 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 34551145512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52540881120).

34551145512 is an abundant number, since it is smaller than the sum of its proper divisors (70530616728).

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

34551145512 is a wasteful number, since it uses less digits than its factorization.

34551145512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105214 (or 105185 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 34551145512 in words is "thirty-four billion, five hundred fifty-one million, one hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 312 324 338 351 468 486 507 648 676 702 936 972 1014 1053 1352 1404 1521 1944 2028 2106 2808 3042 3159 4056 4212 4563 6084 6318 8424 9126 12168 12636 13689 18252 25272 27378 36504 41067 54756 82134 105167 109512 164268 210334 315501 328536 420668 631002 841336 946503 1262004 1367171 1893006 2524008 2734342 2839509 3786012 4101513 5468684 5679018 7572024 8203026 8518527 10937368 11358036 12304539 16406052 17037054 17773223 22716072 24609078 25555581 32812104 34074108 35546446 36913617 49218156 51111162 53319669 68148216 71092892 73827234 98436312 102222324 106639338 110740851 142185784 147654468 159959007 204444648 213278676 221481702 295308936 319918014 332222553 426557352 442963404 479877021 639836028 664445106 885926808 959754042 1279672056 1328890212 1439631063 1919508084 2657780424 2879262126 3839016168 4318893189 5758524252 8637786378 11517048504 17275572756 34551145512