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7668274328 = 2311313311787
BaseRepresentation
bin1110010010001000…
…01001010010011000
3201210102012200211022
413021010021102120
5111201034234303
63304525422012
7361012153631
oct71104112230
921712180738
107668274328
1132855a5000
1215a010a908
139528b7a40
1452a5d6888
152ed321438
hex1c9109498

7668274328 has 128 divisors (see below), whose sum is σ = 17590487040. Its totient is φ = 3111926400.

The previous prime is 7668274319. The next prime is 7668274349. The reversal of 7668274328 is 8234728667.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7668274328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4290251 + ... + 4292037.

It is an arithmetic number, because the mean of its divisors is an integer number (137425680).

Almost surely, 27668274328 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 7668274328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795243520).

7668274328 is an abundant number, since it is smaller than the sum of its proper divisors (9922212712).

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

7668274328 is a wasteful number, since it uses less digits than its factorization.

7668274328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1844 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 53.

The square root of 7668274328 is about 87568.6834890191. The cubic root of 7668274328 is about 1971.9650510094.

The spelling of 7668274328 in words is "seven billion, six hundred sixty-eight million, two hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 121 124 143 242 248 286 341 403 484 572 682 806 968 1144 1331 1364 1573 1612 1787 2662 2728 3146 3224 3574 3751 4433 5324 6292 7148 7502 8866 10648 12584 14296 15004 17303 17732 19657 23231 30008 34606 35464 39314 41261 46462 48763 55397 69212 78628 82522 92924 97526 110794 138424 157256 165044 185848 195052 216227 221588 255541 330088 390104 432454 443176 511082 536393 609367 720161 864908 1022164 1072786 1218734 1440322 1729816 2044328 2145572 2378497 2437468 2810951 2880644 4291144 4756994 4874936 5621902 5761288 6703037 7921771 9513988 11243804 13406074 15843542 19027976 22487608 26812148 30920461 31687084 53624296 61840922 63374168 73733407 87139481 123681844 147466814 174278962 247363688 294933628 348557924 589867256 697115848 958534291 1917068582 3834137164 7668274328