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6161336656 = 241727318253
BaseRepresentation
bin1011011110011111…
…01000100101010000
3120220101122022221221
411233033220211100
5100104300233111
62455214454424
7305453332426
oct55717504520
916811568857
106161336656
112681a06472
12123b504414
13772636a47
14426409116
15260da6371
hex16f3e8950

6161336656 has 60 divisors (see below), whose sum is σ = 12855525532. Its totient is φ = 2859577344.

The previous prime is 6161336653. The next prime is 6161336677. The reversal of 6161336656 is 6566331616.

It can be written as a sum of positive squares in 6 ways, for example, as 8503056 + 6152833600 = 2916^2 + 78440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6161336653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328426 + ... + 346678.

Almost surely, 26161336656 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 6161336656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427762766).

6161336656 is an abundant number, since it is smaller than the sum of its proper divisors (6694188876).

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

6161336656 is a wasteful number, since it uses less digits than its factorization.

6161336656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368 (or 18345 counting only the distinct ones).

The product of its digits is 349920, while the sum is 43.

The square root of 6161336656 is about 78494.1823067162. The cubic root of 6161336656 is about 1833.2638714252.

The spelling of 6161336656 in words is "six billion, one hundred sixty-one million, three hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 289 292 578 584 1156 1168 1241 2312 2482 4624 4964 9928 18253 19856 21097 36506 42194 73012 84388 146024 168776 292048 310301 337552 620602 1241204 1332469 2482408 2664938 4964816 5275117 5329876 10550234 10659752 21100468 21319504 22651973 42200936 45303946 84401872 90607892 181215784 362431568 385083541 770167082 1540334164 3080668328 6161336656