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1001053189664 = 251127710266791
BaseRepresentation
bin11101001000100110110…
…10110111011000100000
310112200220010012000002122
432210103122313120200
5112400124104032124
62043513312003412
7132216013500563
oct16442332673040
93480803160078
101001053189664
113565a9478980
12142016830568
1373525539ba8
143664627c4da
151b08de5275e
hexe9136b7620

1001053189664 has 48 divisors (see below), whose sum is σ = 2157751141056. Its totient is φ = 453381446400.

The previous prime is 1001053189613. The next prime is 1001053189679. The reversal of 1001053189664 is 4669813501001.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 5035892 + ... + 5230899.

It is an arithmetic number, because the mean of its divisors is an integer number (44953148772).

Almost surely, 21001053189664 is an apocalyptic number.

It is an amenable number.

1001053189664 is an abundant number, since it is smaller than the sum of its proper divisors (1156697951392).

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

1001053189664 is a wasteful number, since it uses less digits than its factorization.

1001053189664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267089 (or 10267081 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 1001053189664 in words is "one trillion, one billion, fifty-three million, one hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 277 352 554 1108 2216 3047 4432 6094 8864 12188 24376 48752 97504 10266791 20533582 41067164 82134328 112934701 164268656 225869402 328537312 451738804 903477608 1806955216 2843901107 3613910432 5687802214 11375604428 22751208856 31282912177 45502417712 62565824354 91004835424 125131648708 250263297416 500526594832 1001053189664