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468739140552 = 23326510265841
BaseRepresentation
bin1101101001000110000…
…01111010101111001000
31122210220020101111212100
412310203001322233020
530134434204444202
6555200310313400
745602535645414
oct6644301725710
91583806344770
10468739140552
11170878030071
1276a17958860
13352817a32c7
1418989565d44
15c2d649b41c
hex6d2307abc8

468739140552 has 24 divisors (see below), whose sum is σ = 1269501839190. Its totient is φ = 156246380160.

The previous prime is 468739140533. The next prime is 468739140593. The reversal of 468739140552 is 255041937864.

It is a happy number.

468739140552 is a `hidden beast` number, since 4 + 6 + 8 + 73 + 9 + 14 + 0 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269728577316 + 199010563236 = 519354^2 + 446106^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4687391405522 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3255132849 + ... + 3255132992.

It is a 1-persistent number, because it is pandigital, but 2⋅468739140552 = 937478281104 is not.

Almost surely, 2468739140552 is an apocalyptic number.

It is an amenable number.

468739140552 is an abundant number, since it is smaller than the sum of its proper divisors (800762698638).

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

468739140552 is a wasteful number, since it uses less digits than its factorization.

468739140552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510265853 (or 6510265846 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 468739140552 in words is "four hundred sixty-eight billion, seven hundred thirty-nine million, one hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6510265841 13020531682 19530797523 26041063364 39061595046 52082126728 58592392569 78123190092 117184785138 156246380184 234369570276 468739140552