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10036608668256 = 253104548006961
BaseRepresentation
bin1001001000001101010001…
…1111101001001001100000
31022112111020111220021202110
42102003110133221021200
52303414433304341011
633202430535515320
72054056343032452
oct222032437511140
938474214807673
1010036608668256
11321a557a37355
1211611b3b28b40
1357a5a972b5c1
14269abb1482d2
1512611dd35ba6
hex920d47e9260

10036608668256 has 24 divisors (see below), whose sum is σ = 26346097754424. Its totient is φ = 3345536222720.

The previous prime is 10036608668227. The next prime is 10036608668267. The reversal of 10036608668256 is 65286680663001.

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

It is a super-2 number, since 2×100366086682562 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10036608668196 and 10036608668205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52274003385 + ... + 52274003576.

It is an arithmetic number, because the mean of its divisors is an integer number (1097754073101).

Almost surely, 210036608668256 is an apocalyptic number.

10036608668256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10036608668256 is an abundant number, since it is smaller than the sum of its proper divisors (16309489086168).

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

10036608668256 is a wasteful number, since it uses less digits than its factorization.

10036608668256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104548006974 (or 104548006966 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 10036608668256 in words is "ten trillion, thirty-six billion, six hundred eight million, six hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104548006961 209096013922 313644020883 418192027844 627288041766 836384055688 1254576083532 1672768111376 2509152167064 3345536222752 5018304334128 10036608668256