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160043854292 = 2272531071371051
BaseRepresentation
bin1001010100001101011…
…0110110100111010100
3120022002201202011202222
42111003112312213110
510110232211314132
6201304555121512
714364015213200
oct2250326664724
9508081664688
10160043854292
1161968646583
1227026443298
13121273828ca
147a6368bb00
15426a751412
hex25435b69d4

160043854292 has 144 divisors (see below), whose sum is σ = 337819906368. Its totient is φ = 66117542400.

The previous prime is 160043854277. The next prime is 160043854301. The reversal of 160043854292 is 292458340061.

160043854292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1600438542922 (a number of 23 digits) 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 47 ways as a sum of consecutive naturals, for example, 152277167 + ... + 152278217.

It is an arithmetic number, because the mean of its divisors is an integer number (2345971572).

Almost surely, 2160043854292 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 160043854292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168909953184).

160043854292 is an abundant number, since it is smaller than the sum of its proper divisors (177776052076).

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

160043854292 is a wasteful number, since it uses less digits than its factorization.

160043854292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 160043854292 in words is "one hundred sixty billion, forty-three million, eight hundred fifty-four thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 107 137 196 212 214 274 371 428 548 742 749 959 1051 1484 1498 1918 2102 2597 2996 3836 4204 5194 5243 5671 6713 7261 7357 10388 10486 11342 13426 14522 14659 14714 20972 22684 26852 29044 29318 29428 39697 50827 51499 55703 58636 79394 101654 102613 102998 111406 112457 143987 158788 203308 205226 205996 222812 224914 277879 287974 355789 389921 410452 449828 555758 575948 711578 718291 776927 779842 787199 1007909 1111516 1423156 1436582 1553854 1559684 1574398 2015818 2729447 2873164 3107708 3148796 4031636 5438489 5458894 5510393 5960221 7055363 7631311 10876978 10917788 11020786 11920442 14110726 15262622 15406609 21753956 22041572 23840884 28221452 30525244 30813218 38069423 41721547 53419177 61626436 76138846 83443094 106838354 107846263 152277692 166886188 213676708 215692526 292050829 373934239 431385052 584101658 747868478 754923841 816550277 1168203316 1495736956 1509847682 1633100554 3019695364 3266201108 5715851939 11431703878 22863407756 40010963573 80021927146 160043854292