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252116623620 = 223251973718311
BaseRepresentation
bin1110101011001101010…
…0100110000100000100
3220002202102220110212200
43222303110212010010
513112313323423440
6311453142114500
724133453641051
oct3526324460404
9802672813780
10252116623620
1197a16296974
1240a4141ba30
131aa0b74a3c4
14c2b9988028
156858a66c30
hex3ab3526104

252116623620 has 72 divisors (see below), whose sum is σ = 805003967040. Its totient is φ = 63692619840.

The previous prime is 252116623573. The next prime is 252116623621. The reversal of 252116623620 is 26326611252.

252116623620 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 1 + 6 + 6 + 23 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252116623621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36855736 + ... + 36862575.

Almost surely, 2252116623620 is an apocalyptic number.

252116623620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252116623620 is an abundant number, since it is smaller than the sum of its proper divisors (552887343420).

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

252116623620 is a wasteful number, since it uses less digits than its factorization.

252116623620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73718345 (or 73718340 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 252116623620 in words is "two hundred fifty-two billion, one hundred sixteen million, six hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 73718311 147436622 221154933 294873244 368591555 442309866 663464799 737183110 884619732 1105774665 1326929598 1400647909 1474366220 2211549330 2653859196 2801295818 3317323995 4201943727 4423098660 5602591636 6634647990 7003239545 8403887454 12605831181 13269295980 14006479090 16807774908 21009718635 25211662362 28012958180 42019437270 50423324724 63029155905 84038874540 126058311810 252116623620