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34504215512 = 231317413671297
BaseRepresentation
bin100000001000100111…
…001000101111011000
310022001122202202110212
4200020213020233120
51031131034344022
623503453030252
72331021664334
oct401047105730
9108048682425
1034504215512
11136a6803898
12682b485388
13333b5b6590
1419547307c4
15d6e29b3e2
hex8089c8bd8

34504215512 has 128 divisors (see below), whose sum is σ = 75833936640. Its totient is φ = 14571601920.

The previous prime is 34504215511. The next prime is 34504215527. The reversal of 34504215512 is 21551240543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34504215511) 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, 26602448 + ... + 26603744.

It is an arithmetic number, because the mean of its divisors is an integer number (592452630).

Almost surely, 234504215512 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 34504215512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37916968320).

34504215512 is an abundant number, since it is smaller than the sum of its proper divisors (41329721128).

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

34504215512 is a wasteful number, since it uses less digits than its factorization.

34504215512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 34504215512 in words is "thirty-four billion, five hundred four million, two hundred fifteen thousand, five hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 328 367 442 533 697 734 884 1066 1297 1394 1468 1768 2132 2594 2788 2936 4264 4771 5188 5576 6239 9061 9542 10376 12478 15047 16861 18122 19084 22049 24956 30094 33722 36244 38168 44098 49912 53177 60188 67444 72488 81107 88196 106354 120376 134888 162214 176392 195611 212708 255799 286637 324428 391222 425416 475999 511598 573274 648856 691301 782444 904009 951998 1023196 1146548 1382602 1564888 1808018 1903996 2046392 2293096 2765204 3325387 3616036 3807992 5530408 6187987 6650774 7232072 8091983 11752117 12375974 13301548 16183966 19515959 23504234 24751948 26603096 32367932 39031918 47008468 49503896 64735864 78063836 94016936 105195779 156127672 210391558 253707467 331771303 420783116 507414934 663542606 841566232 1014829868 1327085212 2029659736 2654170424 4313026939 8626053878 17252107756 34504215512