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160093485144 = 2332173452579
BaseRepresentation
bin1001010100011001010…
…0001011100001011000
3120022020012010200111200
42111012110023201120
510110332413011034
6201313530554200
714365160112435
oct2250624134130
9508205120450
10160093485144
1161993664a0a
122703ab98960
131213473bc88
147a6a0cab8c
15426eca6a99
hex254650b858

160093485144 has 96 divisors (see below), whose sum is σ = 460681182000. Its totient is φ = 50225296128.

The previous prime is 160093485131. The next prime is 160093485151. The reversal of 160093485144 is 441584390061.

160093485144 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 93 + 48 + 514 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 160093485144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127447 + ... + 580025.

Almost surely, 2160093485144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160093485144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230340591000).

160093485144 is an abundant number, since it is smaller than the sum of its proper divisors (300587696856).

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

160093485144 is a wasteful number, since it uses less digits than its factorization.

160093485144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452642 (or 452601 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 160093485144 in words is "one hundred sixty billion, ninety-three million, four hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 4913 5202 6936 9826 10404 14739 19652 20808 29478 39304 44217 58956 88434 117912 176868 353736 452579 905158 1357737 1810316 2715474 3620632 4073211 5430948 7693843 8146422 10861896 15387686 16292844 23081529 30775372 32585688 46163058 61550744 69244587 92326116 130795331 138489174 184652232 261590662 276978348 392385993 523181324 553956696 784771986 1046362648 1177157979 1569543972 2223520627 2354315958 3139087944 4447041254 4708631916 6670561881 8894082508 9417263832 13341123762 17788165016 20011685643 26682247524 40023371286 53364495048 80046742572 160093485144