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161134592544 = 2533811229961
BaseRepresentation
bin1001011000010001011…
…1101100001000100000
3120101220202011102101000
42112010113230020200
510120000423430134
6202005121312000
714433031303122
oct2260427541040
9511822142330
10161134592544
1162378305352
122728b795600
131226c33ca63
147b28499212
1542d13a7e99
hex25845ec220

161134592544 has 96 divisors (see below), whose sum is σ = 470557442880. Its totient is φ = 53645068800.

The previous prime is 161134592537. The next prime is 161134592609. The reversal of 161134592544 is 445295431161.

161134592544 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 3 + 4 + 592 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 161134592544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585724 + ... + 815684.

It is an arithmetic number, because the mean of its divisors is an integer number (4901640030).

Almost surely, 2161134592544 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 161134592544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235278721440).

161134592544 is an abundant number, since it is smaller than the sum of its proper divisors (309422850336).

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

161134592544 is a wasteful number, since it uses less digits than its factorization.

161134592544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230791 (or 230777 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 161134592544 in words is "one hundred sixty-one billion, one hundred thirty-four million, five hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 811 864 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 21897 25952 29196 38928 43794 58392 77856 87588 116784 175176 229961 233568 350352 459922 689883 700704 919844 1379766 1839688 2069649 2759532 3679376 4139298 5519064 6208947 7358752 8278596 11038128 12417894 16557192 22076256 24835788 33114384 49671576 66228768 99343152 186498371 198686304 372996742 559495113 745993484 1118990226 1491986968 1678485339 2237980452 2983973936 3356970678 4475960904 5035456017 5967947872 6713941356 8951921808 10070912034 13427882712 17903843616 20141824068 26855765424 40283648136 53711530848 80567296272 161134592544