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161981977762388 = 227219212291862737
BaseRepresentation
bin100100110101001001011110…
…001111101001101001010100
3210020112022210112112100221002
4210311021132033221221110
5132212403042301344023
61332301254315042432
746055545261245200
oct4465113617515124
9706468715470832
10161981977762388
1147681197649213
1216201238740418
136c4cab1540474
142bddd8065db00
1513ad7ca052b28
hex93525e3e9a54

161981977762388 has 108 divisors (see below), whose sum is σ = 348301028667060. Its totient is φ = 65713570804224.

The previous prime is 161981977762321. The next prime is 161981977762399. The reversal of 161981977762388 is 883267779189161.

161981977762388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151037512631824 + 10944465130564 = 12289732^2 + 3308242^2 .

It is a super-2 number, since 2×1619819777623882 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86027756 + ... + 87890492.

It is an arithmetic number, because the mean of its divisors is an integer number (3225009524695).

Almost surely, 2161981977762388 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 161981977762388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174150514333530).

161981977762388 is an abundant number, since it is smaller than the sum of its proper divisors (186319050904672).

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

161981977762388 is a wasteful number, since it uses less digits than its factorization.

161981977762388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864022 (or 1863994 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 83.

The spelling of 161981977762388 in words is "one hundred sixty-one trillion, nine hundred eighty-one billion, nine hundred seventy-seven million, seven hundred sixty-two thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1229 1444 1862 2458 2527 3724 4916 5054 8603 10108 17206 17689 23351 34412 35378 46702 60221 70756 93404 120442 163457 240884 326914 443669 653828 887338 1144199 1774676 1862737 2288398 3105683 3725474 4576796 6211366 7450948 12422732 13039159 21739781 26078318 35392003 43479562 52156636 70784006 86959124 91274113 141568012 182548226 247744021 365096452 495488042 672448057 990976084 1344896114 1734208147 2289303773 2689792228 3468416294 4578607546 4707136399 6936832588 9157215092 9414272798 16025126411 18828545596 32050252822 32949954793 43496771687 64100505644 65899909586 86993543374 112175884877 131799819172 173987086748 224351769754 304477401809 448703539508 608954803618 826438662053 1217909607236 1652877324106 2131341812663 3305754648212 4262683625326 5785070634371 8525367250652 11570141268742 23140282537484 40495494440597 80990988881194 161981977762388