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641973976992 = 253218443120863
BaseRepresentation
bin10010101011110001010…
…00010111111110100000
32021101001021022000100200
421111320220113332200
541004230314230432
61210530242145200
764244466524535
oct11257050277640
92241037260320
10641973976992
11228294634787
12a4503952200
13486cb97539a
1423100a94d8c
1511a74cc6a7c
hex9578a17fa0

641973976992 has 72 divisors (see below), whose sum is σ = 1825727589504. Its totient is φ = 213977952384.

The previous prime is 641973976979. The next prime is 641973977041. The reversal of 641973976992 is 299679379146.

641973976992 is a `hidden beast` number, since 6 + 4 + 1 + 97 + 397 + 69 + 92 = 666.

641973976992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 641973976992.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5251153 + ... + 5372015.

It is an arithmetic number, because the mean of its divisors is an integer number (25357327632).

Almost surely, 2641973976992 is an apocalyptic number.

It is an amenable number.

641973976992 is an abundant number, since it is smaller than the sum of its proper divisors (1183753612512).

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

641973976992 is a wasteful number, since it uses less digits than its factorization.

641973976992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139322 (or 139311 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 641973976992 in words is "six hundred forty-one billion, nine hundred seventy-three million, nine hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 18443 36886 55329 73772 110658 120863 147544 165987 221316 241726 295088 331974 362589 442632 483452 590176 663948 725178 885264 966904 1087767 1327896 1450356 1770528 1933808 2175534 2655792 2900712 3867616 4351068 5311584 5801424 8702136 11602848 17404272 34808544 2229076309 4458152618 6687228927 8916305236 13374457854 17832610472 20061686781 26748915708 35665220944 40123373562 53497831416 71330441888 80246747124 106995662832 160493494248 213991325664 320986988496 641973976992