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62496000064 = 26312492
BaseRepresentation
bin111010001101000011…
…010100100001000000
312222022110020202011001
4322031003110201000
52010442434000224
644413230101344
74341465143551
oct721503244100
9188273222131
1062496000064
11245603a9933
121014194a854
135b7c8b8ac4
14304c182328
15195b93d544
hexe8d0d4840

62496000064 has 21 divisors (see below), whose sum is σ = 124019468877. Its totient is φ = 31247000064.

The previous prime is 62496000053. The next prime is 62496000067. The reversal of 62496000064 is 46000069426.

The square root of 62496000064 is 249992.

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., 40639334464 + 21856665600 = 201592^2 + 147840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 62495999987 and 62496000032.

It is not an unprimeable number, because it can be changed into a prime (62496000067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1984312 + ... + 2015560.

Almost surely, 262496000064 is an apocalyptic number.

62496000064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

62496000064 is the 249992-nd square number.

It is an amenable number.

62496000064 is a deficient number, since it is larger than the sum of its proper divisors (61523468813).

62496000064 is an frugal number, since it uses more digits than its factorization.

62496000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62510 (or 31251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 62496000064 in words is "sixty-two billion, four hundred ninety-six million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 31249 62498 124996 249992 499984 999968 1999936 976500001 1953000002 3906000004 7812000008 15624000016 31248000032 62496000064