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275310208096 = 25711297104717
BaseRepresentation
bin1000000000110011100…
…01000110010001100000
3222022121211201122102221
410000121301012101200
514002313403124341
6330250433120424
725614305104630
oct4003161062140
9868554648387
10275310208096
11a6838487200
12454349b9114
131cc669586a1
14d47a0686c0
157264d64ed1
hex4019c46460

275310208096 has 144 divisors (see below), whose sum is σ = 687906783648. Its totient is φ = 106156892160.

The previous prime is 275310208051. The next prime is 275310208153. The reversal of 275310208096 is 690802013572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2576730 + ... + 2681446.

It is an arithmetic number, because the mean of its divisors is an integer number (4777130442).

Almost surely, 2275310208096 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 275310208096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343953391824).

275310208096 is an abundant number, since it is smaller than the sum of its proper divisors (412596575552).

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

275310208096 is a wasteful number, since it uses less digits than its factorization.

275310208096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104853 (or 104834 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 275310208096 in words is "two hundred seventy-five billion, three hundred ten million, two hundred eight thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 97 112 121 154 176 194 224 242 308 352 388 484 616 679 776 847 968 1067 1232 1358 1552 1694 1936 2134 2464 2716 3104 3388 3872 4268 5432 6776 7469 8536 10864 11737 13552 14938 17072 21728 23474 27104 29876 34144 46948 59752 82159 93896 104717 119504 164318 187792 209434 239008 328636 375584 418868 657272 733019 837736 1151887 1314544 1466038 1675472 2303774 2629088 2932076 3350944 4607548 5864152 8063209 9215096 10157549 11728304 12670757 16126418 18430192 20315098 23456608 25341514 32252836 36860384 40630196 50683028 64505672 71102843 81260392 88695299 101366056 111733039 129011344 142205686 162520784 177390598 202732112 223466078 258022688 284411372 325041568 354781196 405464224 446932156 568822744 709562392 782131273 893864312 1137645488 1229063429 1419124784 1564262546 1787728624 2275290976 2458126858 2838249568 3128525092 3575457248 4916253716 6257050184 8603444003 9832507432 12514100368 17206888006 19665014864 25028200736 34413776012 39330029728 68827552024 137655104048 275310208096