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161056744884 = 223272777193209
BaseRepresentation
bin1001010111111110111…
…0101110010110110100
3120101201022200100110100
42111333232232112310
510114321011314014
6201553300554100
714431064513040
oct2257756562664
9511638610410
10161056744884
1162338374242
12272696b2930
1312259184259
147b1bdd3020
1542c962c009
hex257fbae5b4

161056744884 has 144 divisors (see below), whose sum is σ = 467749900800. Its totient is φ = 45772051968.

The previous prime is 161056744879. The next prime is 161056744909. The reversal of 161056744884 is 488447650161.

161056744884 is a `hidden beast` number, since 1 + 61 + 0 + 5 + 67 + 448 + 84 = 666.

161056744884 is a modest number, since divided by 744884 gives 161056 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 161056744884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50187472 + ... + 50190680.

It is an arithmetic number, because the mean of its divisors is an integer number (3248263200).

Almost surely, 2161056744884 is an apocalyptic number.

161056744884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161056744884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233874950400).

161056744884 is an abundant number, since it is smaller than the sum of its proper divisors (306693155916).

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

161056744884 is a wasteful number, since it uses less digits than its factorization.

161056744884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 161056744884 in words is "one hundred sixty-one billion, fifty-six million, seven hundred forty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 719 831 1108 1438 1662 1939 2157 2493 2876 3209 3324 3878 4314 4986 5033 5817 6418 6471 7756 8628 9627 9972 10066 11634 12836 12942 15099 17451 19254 20132 22463 23268 25884 28881 30198 34902 38508 44926 45297 57762 60396 67389 69804 89852 90594 115524 134778 181188 199163 202167 269556 398326 404334 597489 796652 808668 888893 1194978 1394141 1777786 1792467 2307271 2389956 2666679 2788282 3555572 3584934 4182423 4614542 5333358 5576564 6222251 6921813 7169868 8000037 8364846 9229084 10666716 12444502 12547269 13843626 16000074 16150897 16729692 18666753 20765439 24889004 25094538 27687252 32000148 32301794 37333506 41530878 48452691 50189076 56000259 64603588 74667012 83061756 96905382 112000518 145358073 193810764 224001036 290716146 581432292 639114067 1278228134 1917342201 2556456268 3834684402 4473798469 5752026603 7669368804 8947596938 11504053206 13421395407 17895193876 23008106412 26842790814 40264186221 53685581628 80528372442 161056744884