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8161082496 = 273272144577
BaseRepresentation
bin1111001100111000…
…00011110010000000
3210001202111221112200
413212130003302000
5113203214114441
63425452153200
7406145025300
oct74634036200
923052457480
108161082496
11350879a086
1216b9168800
13a00a224c8
14575c39600
1532b7187b6
hex1e6703c80

8161082496 has 144 divisors (see below), whose sum is σ = 27318735990. Its totient is φ = 2331721728.

The previous prime is 8161082459. The next prime is 8161082519. The reversal of 8161082496 is 6942801618.

8161082496 is a `hidden beast` number, since 8 + 1 + 610 + 8 + 24 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7720082496 + 441000000 = 87864^2 + 21000^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15841 + ... + 128736.

Almost surely, 28161082496 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 8161082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659367995).

8161082496 is an abundant number, since it is smaller than the sum of its proper divisors (19157653494).

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

8161082496 is a wasteful number, since it uses less digits than its factorization.

8161082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144611 (or 144589 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8161082496 is about 90338.7098424590. The cubic root of 8161082496 is about 2013.3344401068.

The spelling of 8161082496 in words is "eight billion, one hundred sixty-one million, eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 144577 289154 433731 578308 867462 1012039 1156616 1301193 1734924 2024078 2313232 2602386 3036117 3469848 4048156 4626464 5204772 6072234 6939696 7084273 8096312 9108351 9252928 10409544 12144468 13879392 14168546 16192624 18216702 18505856 20819088 21252819 24288936 27758784 28337092 32385248 36433404 41638176 42505638 48577872 55517568 56674184 63758457 64770496 72866808 83276352 85011276 97155744 113348368 127516914 129540992 145733616 166552704 170022552 194311488 226696736 255033828 291467232 340045104 388622976 453393472 510067656 582934464 680090208 906786944 1020135312 1165868928 1360180416 2040270624 2720360832 4080541248 8161082496