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161155150056 = 233241137339761
BaseRepresentation
bin1001011000010110011…
…0000111000011101000
3120101222011211211222100
42112011212013003220
510120021204300211
6202011134053400
714433401113425
oct2260546070350
9511864754870
10161155150056
116238897652a
122729664a260
1312273689b74
147b2b0cad4c
1542d30b9156
hex25859870e8

161155150056 has 96 divisors (see below), whose sum is σ = 447444171720. Its totient is φ = 52368691200.

The previous prime is 161155150043. The next prime is 161155150063. The reversal of 161155150056 is 650051551161.

It is a happy number.

161155150056 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 551 + 50 + 0 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112336247556 + 48818902500 = 335166^2 + 220950^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 161155150056.

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, 4033216 + ... + 4072976.

Almost surely, 2161155150056 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 161155150056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223722085860).

161155150056 is an abundant number, since it is smaller than the sum of its proper divisors (286289021664).

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

161155150056 is a wasteful number, since it uses less digits than its factorization.

161155150056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41187 (or 41180 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 161155150056 in words is "one hundred sixty-one billion, one hundred fifty-five million, one hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1373 1476 2746 2952 4119 5492 8238 10984 12357 16476 24714 32952 39761 49428 56293 79522 98856 112586 119283 159044 168879 225172 238566 318088 337758 357849 450344 477132 506637 675516 715698 954264 1013274 1351032 1431396 1630201 2026548 2862792 3260402 4053096 4890603 6520804 9781206 13041608 14671809 19562412 29343618 39124824 54591853 58687236 109183706 117374472 163775559 218367412 327551118 436734824 491326677 655102236 982653354 1310204472 1965306708 2238265973 3930613416 4476531946 6714797919 8953063892 13429595838 17906127784 20144393757 26859191676 40288787514 53718383352 80577575028 161155150056