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160056114336 = 25323715020281
BaseRepresentation
bin1001010100010000010…
…1100111110010100000
3120022010120211001101200
42111010011213302200
510110243331124321
6201310114001200
714364224344566
oct2250405476240
9508116731350
10160056114336
116197455a748
122702a576200
1312129a86081
147a6515da36
15426b873d26
hex2544167ca0

160056114336 has 72 divisors (see below), whose sum is σ = 467461216404. Its totient is φ = 51910087680.

The previous prime is 160056114311. The next prime is 160056114349. The reversal of 160056114336 is 633411650061.

160056114336 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 5 + 611 + 4 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155914419600 + 4141694736 = 394860^2 + 64356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 160056114336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7499485 + ... + 7520796.

Almost surely, 2160056114336 is an apocalyptic number.

160056114336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

160056114336 is an abundant number, since it is smaller than the sum of its proper divisors (307405102068).

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

160056114336 is a wasteful number, since it uses less digits than its factorization.

160056114336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020334 (or 15020323 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 160056114336 its reverse (633411650061), we get a palindrome (793467764397).

The spelling of 160056114336 in words is "one hundred sixty billion, fifty-six million, one hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 15020281 30040562 45060843 60081124 90121686 120162248 135182529 180243372 240324496 270365058 360486744 480648992 540730116 555750397 720973488 1081460232 1111500794 1441946976 1667251191 2162920464 2223001588 3334502382 4325840928 4446003176 5001753573 6669004764 8892006352 10003507146 13338009528 17784012704 20007014292 26676019056 40014028584 53352038112 80028057168 160056114336