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4963392864 = 2532149911497
BaseRepresentation
bin1001001111101011…
…10101110101100000
3110210220111111000100
410213311311311200
540131112032424
62140302422400
7233666100063
oct44765656540
913726444010
104963392864
112117784581
12b66291a00
136113b2471
143512928da
151e0b24dc9
hex127d75d60

4963392864 has 72 divisors (see below), whose sum is σ = 14125293000. Its totient is φ = 1653216768.

The previous prime is 4963392839. The next prime is 4963392881. The reversal of 4963392864 is 4682933694.

4963392864 is a `hidden beast` number, since 496 + 3 + 3 + 92 + 8 + 64 = 666.

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

It is a super-2 number, since 2×49633928642 = 49270537444812244992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4963392864.

It is a congruent number.

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, 425964 + ... + 437460.

It is an arithmetic number, because the mean of its divisors is an integer number (196184625).

Almost surely, 24963392864 is an apocalyptic number.

It is an amenable number.

4963392864 is an abundant number, since it is smaller than the sum of its proper divisors (9161900136).

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

4963392864 is a wasteful number, since it uses less digits than its factorization.

4963392864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 13001 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 4963392864 is about 70451.3510445329. The cubic root of 4963392864 is about 1705.7925657630.

The spelling of 4963392864 in words is "four billion, nine hundred sixty-three million, three hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1499 2998 4497 5996 8994 11497 11992 13491 17988 22994 23984 26982 34491 35976 45988 47968 53964 68982 71952 91976 103473 107928 137964 143904 183952 206946 215856 275928 367904 413892 431712 551856 827784 1103712 1655568 3311136 17234003 34468006 51702009 68936012 103404018 137872024 155106027 206808036 275744048 310212054 413616072 551488096 620424108 827232144 1240848216 1654464288 2481696432 4963392864