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117050199876 = 22348322292
BaseRepresentation
bin110110100000010111…
…1000100111101000100
3102012010102121020110000
41231000233010331010
53404204322344001
6125434440001300
711312420166021
oct1550057047504
9365112536400
10117050199876
1145705871685
121a827a60230
13b06502b1cc
14594568a548
1530a102aa86
hex1b40bc4f44

117050199876 has 135 divisors (see below), whose sum is σ = 311081825901. Its totient is φ = 38378326176.

The previous prime is 117050199817. The next prime is 117050199911. The reversal of 117050199876 is 678991050711.

The square root of 117050199876 is 342126.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 109014870276 + 8035329600 = 330174^2 + 89640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 511136130 + ... + 511136358.

Almost surely, 2117050199876 is an apocalyptic number.

117050199876 is the 342126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117050199876

117050199876 is an abundant number, since it is smaller than the sum of its proper divisors (194031626025).

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

117050199876 is an frugal number, since it uses more digits than its factorization.

117050199876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 117050199876 in words is "one hundred seventeen billion, fifty million, one hundred ninety-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 229 249 324 332 458 498 687 747 916 996 1374 1494 2061 2241 2748 2988 4122 4482 6183 6723 6889 8244 8964 12366 13446 13778 18549 19007 20667 24732 26892 27556 37098 38014 41334 52441 57021 62001 74196 76028 82668 104882 114042 124002 157323 171063 186003 209764 228084 248004 314646 342126 372006 471969 513189 558009 629292 684252 744012 943938 1026378 1116018 1415907 1539567 1577581 1887876 2052756 2232036 2831814 3079134 3155162 4247721 4352603 4732743 5663628 6158268 6310324 8495442 8705206 9465486 13057809 14198229 16990884 17410412 18930972 26115618 28396458 39173427 42594687 52231236 56792916 78346854 85189374 117520281 127784061 156693708 170378748 235040562 255568122 352560843 361266049 470081124 511136244 705121686 722532098 1083798147 1410243372 1445064196 2167596294 3251394441 4335192588 6502788882 9754183323 13005577764 19508366646 29262549969 39016733292 58525099938 117050199876