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161331092428248 = 233231141435110723
BaseRepresentation
bin100100101011101011010010…
…011101001001010111011000
3210011020002202012221111200200
4210223223102131021113120
5132121222034130200443
61331042251455302200
745660533603220261
oct4453532235112730
9704202665844620
10161331092428248
114745014a867a66
121611706851a960
136c035c25b30b2
142bba676269968
15139b8d2c5ddd3
hex92bad27495d8

161331092428248 has 96 divisors (see below), whose sum is σ = 451065140797440. Its totient is φ = 52038597977280.

The previous prime is 161331092428237. The next prime is 161331092428307. The reversal of 161331092428248 is 842824290133161.

It is a happy number.

161331092428248 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 310 + 9 + 2 + 4 + 282 + 48 = 666.

161331092428248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 161331092428194 and 161331092428203.

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, 29011815 + ... + 34122537.

It is an arithmetic number, because the mean of its divisors is an integer number (4698595216640).

Almost surely, 2161331092428248 is an apocalyptic number.

161331092428248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

161331092428248 is an abundant number, since it is smaller than the sum of its proper divisors (289734048369192).

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

161331092428248 is a wasteful number, since it uses less digits than its factorization.

161331092428248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124909 (or 5124902 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 161331092428248 in words is "one hundred sixty-one trillion, three hundred thirty-one billion, ninety-two million, four hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 14143 28286 42429 56572 84858 113144 127287 169716 254574 339432 438433 509148 876866 1018296 1315299 1753732 2630598 3507464 3945897 5110723 5261196 7891794 10221446 10522392 15332169 15783588 20442892 30664338 31567176 40885784 45996507 61328676 91993014 122657352 158432413 183986028 316864826 367972056 475297239 633729652 950594478 1267459304 1425891717 1901188956 2851783434 3802377912 5703566868 11407133736 72280955389 144561910778 216842866167 289123821556 433685732334 578247643112 650528598501 867371464668 1301057197002 1734742929336 2240709617059 2602114394004 4481419234118 5204228788008 6722128851177 8962838468236 13444257702354 17925676936472 20166386553531 26888515404708 40332773107062 53777030809416 80665546214124 161331092428248