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1054993566 = 2311131122021
BaseRepresentation
bin111110111000011…
…110110010011110
32201112011020002210
4332320132302132
54130034243231
6252404101250
735100203664
oct7670366236
92645136083
101054993566
114a1575310
12255394826
1313a753463
14a0184c34
1562945a46
hex3ee1ec9e

1054993566 has 32 divisors (see below), whose sum is σ = 2319394176. Its totient is φ = 317252000.

The previous prime is 1054993559. The next prime is 1054993579. The reversal of 1054993566 is 6653994501.

It is a happy number.

It is a super-2 number, since 2×10549935662 = 2226022848602792712, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52365 + ... + 69656.

It is an arithmetic number, because the mean of its divisors is an integer number (72481068).

Almost surely, 21054993566 is an apocalyptic number.

1054993566 is an abundant number, since it is smaller than the sum of its proper divisors (1264400610).

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

1054993566 is a wasteful number, since it uses less digits than its factorization.

1054993566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122168.

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 1054993566 is about 32480.6644944342. The cubic root of 1054993566 is about 1018.0050608117.

The spelling of 1054993566 in words is "one billion, fifty-four million, nine hundred ninety-three thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 2882 4323 8646 122021 244042 366063 732126 1342231 2684462 4026693 8053386 15984751 31969502 47954253 95908506 175832261 351664522 527496783 1054993566