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160054244064 = 253211133886321
BaseRepresentation
bin1001010100001111111…
…0011111001011100000
3120022010110022000212100
42111003332133023200
510110242341302224
6201310005530400
714364202425111
oct2250376371340
9508113260770
10160054244064
11619734a2570
1227029a13a00
131212957c9c0
147a64bd4208
15426b604ac9
hex2543f9f2e0

160054244064 has 144 divisors (see below), whose sum is σ = 534726816624. Its totient is φ = 44770406400.

The previous prime is 160054244033. The next prime is 160054244081. The reversal of 160054244064 is 460442450061.

160054244064 is a `hidden beast` number, since 1 + 600 + 5 + 4 + 2 + 4 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1600542440642 (a number of 23 digits) contains 22 as substring.

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

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, 1901977 + ... + 1984344.

It is an arithmetic number, because the mean of its divisors is an integer number (3713380671).

Almost surely, 2160054244064 is an apocalyptic number.

It is an amenable number.

160054244064 is an abundant number, since it is smaller than the sum of its proper divisors (374672572560).

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

160054244064 is a wasteful number, since it uses less digits than its factorization.

160054244064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886361 (or 3886350 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 160054244064 in words is "one hundred sixty billion, fifty-four million, two hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 3886321 7772642 11658963 15545284 23317926 31090568 34976889 42749531 46635852 50522173 62181136 69953778 85499062 93271704 101044346 124362272 128248593 139907556 151566519 170998124 186543408 202088692 256497186 279815112 303133038 341996248 373086816 384745779 404177384 454699557 512994372 555743903 559630224 606266076 683992496 769491558 808354768 909399114 1025988744 1111487806 1119260448 1212532152 1367984992 1538983116 1616709536 1667231709 1818798228 2051977488 2222975612 2425064304 3077966232 3334463418 3637596456 4103954976 4445951224 4850128608 5001695127 6155932464 6668926836 7275192912 8891902448 10003390254 12311864928 13337853672 14550385824 17783804896 20006780508 26675707344 40013561016 53351414688 80027122032 160054244064