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968582640375 = 3453713666069
BaseRepresentation
bin11100001100001000000…
…01100011001011110111
310102121002012010012020000
432012010001203023313
5111332124123443000
62020543303242343
7126656244413250
oct16060401431367
93377065105200
10968582640375
11343856716679
121378744493b3
137044c38760c
1434c45a8bb27
151a2dd4b9000
hexe1840632f7

968582640375 has 80 divisors (see below), whose sum is σ = 2063685898560. Its totient is φ = 442780603200.

The previous prime is 968582640371. The next prime is 968582640439. The reversal of 968582640375 is 573046285869.

It is a happy number.

968582640375 is a `hidden beast` number, since 9 + 6 + 8 + 582 + 6 + 40 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 968582640375 - 22 = 968582640371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968582640371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6762160 + ... + 6903909.

It is an arithmetic number, because the mean of its divisors is an integer number (25796073732).

Almost surely, 2968582640375 is an apocalyptic number.

968582640375 is an abundant number, since it is smaller than the sum of its proper divisors (1095103258185).

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

968582640375 is a wasteful number, since it uses less digits than its factorization.

968582640375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666103 (or 13666084 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 968582640375 in words is "nine hundred sixty-eight billion, five hundred eighty-two million, six hundred forty thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 675 875 945 1125 1575 2025 2625 2835 3375 4725 7875 10125 14175 23625 70875 13666069 40998207 68330345 95662483 122994621 204991035 286987449 341651725 368983863 478312415 614973105 860962347 1024955175 1106951589 1434937245 1708258625 1844919315 2391562075 2582887041 3074865525 4304811735 5124775875 5534757945 7174686225 7748661123 9224596575 11957810375 12914435205 15374327625 21524058675 27673789725 35873431125 38743305615 46122982875 64572176025 107620293375 138368948625 193716528075 322860880125 968582640375