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215141339296 = 251319148118379
BaseRepresentation
bin1100100001011101101…
…1000101000010100000
3202120022120101102020201
43020113123011002200
512011102140324141
6242500133314544
721354255132232
oct3102733050240
9676276342221
10215141339296
118327174a554
1235842495a54
1317398224040
14a5acdb8252
1558e28a7031
hex32176c50a0

215141339296 has 96 divisors (see below), whose sum is σ = 480498782400. Its totient is φ = 94001264640.

The previous prime is 215141339263. The next prime is 215141339327. The reversal of 215141339296 is 692933141512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11696635 + ... + 11715013.

It is an arithmetic number, because the mean of its divisors is an integer number (5005195650).

Almost surely, 2215141339296 is an apocalyptic number.

215141339296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215141339296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240249391200).

215141339296 is an abundant number, since it is smaller than the sum of its proper divisors (265357443104).

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

215141339296 is a wasteful number, since it uses less digits than its factorization.

215141339296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19902 (or 19894 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The spelling of 215141339296 in words is "two hundred fifteen billion, one hundred forty-one million, three hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1481 1976 2962 3952 5924 7904 11848 18379 19253 23696 28139 36758 38506 47392 56278 73516 77012 112556 147032 154024 225112 238927 294064 308048 349201 365807 450224 477854 588128 616096 698402 731614 900448 955708 1396804 1463228 1911416 2793608 2926456 3822832 4539613 5587216 5852912 7645664 9079226 11174432 11705824 18158452 27219299 36316904 54438598 72633808 108877196 145267616 217754392 353850887 435508784 517166681 707701774 871017568 1034333362 1415403548 2068666724 2830807096 4137333448 5661614192 6723166853 8274666896 11323228384 13446333706 16549333792 26892667412 53785334824 107570669648 215141339296