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10820923968 = 263271120789
BaseRepresentation
bin10100001001111101…
…00011001001000000
31000221010110220002210
422010332203021000
5134130124031333
64545425542120
7532103223201
oct120476431100
930833426083
1010820923968
114653147378
12211baa4940
131035ab81ba
147491b75a8
15434eb9a63
hex284fa3240

10820923968 has 56 divisors (see below), whose sum is σ = 28642299840. Its totient is φ = 3605470720.

The previous prime is 10820923951. The next prime is 10820923979. The reversal of 10820923968 is 86932902801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 510118 + ... + 530906.

It is an arithmetic number, because the mean of its divisors is an integer number (511469640).

Almost surely, 210820923968 is an apocalyptic number.

It is an amenable number.

10820923968 is an abundant number, since it is smaller than the sum of its proper divisors (17821375872).

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

10820923968 is a wasteful number, since it uses less digits than its factorization.

10820923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23515 (or 23505 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 10820923968 in words is "ten billion, eight hundred twenty million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2711 5422 8133 10844 16266 20789 21688 32532 41578 43376 62367 65064 83156 86752 124734 130128 166312 173504 249468 260256 332624 498936 520512 665248 997872 1330496 1995744 3991488 56358979 112717958 169076937 225435916 338153874 450871832 676307748 901743664 1352615496 1803487328 2705230992 3606974656 5410461984 10820923968