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161485107264 = 26321321565853
BaseRepresentation
bin1001011001100101000…
…0110011000001000000
3120102211011201102011200
42112121100303001000
510121210141413024
6202104002141200
714444515522665
oct2263120630100
9512734642150
10161485107264
1162538151238
1227369051800
13122c6b46310
147b5cc5ba6c
1543020442c9
hex2599433040

161485107264 has 84 divisors (see below), whose sum is σ = 498473149356. Its totient is φ = 49687723008.

The previous prime is 161485107263. The next prime is 161485107281. The reversal of 161485107264 is 462701584161.

161485107264 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 8 + 510 + 72 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107479065600 + 54006041664 = 327840^2 + 232392^2 .

It is a super-3 number, since 3×1614851072643 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (161485107263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10775439 + ... + 10790414.

It is an arithmetic number, because the mean of its divisors is an integer number (5934204159).

Almost surely, 2161485107264 is an apocalyptic number.

It is an amenable number.

161485107264 is an abundant number, since it is smaller than the sum of its proper divisors (336988042092).

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

161485107264 is a wasteful number, since it uses less digits than its factorization.

161485107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21565884 (or 21565871 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 161485107264 in words is "one hundred sixty-one billion, four hundred eighty-five million, one hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 21565853 43131706 64697559 86263412 129395118 172526824 194092677 258790236 280356089 345053648 388185354 517580472 560712178 690107296 776370708 841068267 1035160944 1121424356 1380214592 1552741416 1682136534 2070321888 2242848712 2523204801 3105482832 3364273068 4140643776 4485697424 5046409602 6210965664 6728546136 8971394848 10092819204 12421931328 13457092272 17942789696 20185638408 26914184544 40371276816 53828369088 80742553632 161485107264