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264161016 = 233271274127
BaseRepresentation
bin11111011111011…
…00011011111000
3200102001202210100
433233230123320
51020111123031
642113515400
76355221510
oct1757543370
9612052710
10264161016
11126126099
1274572b60
13429601c2
1427124840
15182cede6
hexfbec6f8

264161016 has 96 divisors (see below), whose sum is σ = 824279040. Its totient is φ = 74862144.

The previous prime is 264160999. The next prime is 264161017. The reversal of 264161016 is 610161462.

264161016 is a `hidden beast` number, since 2 + 6 + 41 + 610 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264161017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61945 + ... + 66071.

It is an arithmetic number, because the mean of its divisors is an integer number (8586240).

Almost surely, 2264161016 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 264161016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412139520).

264161016 is an abundant number, since it is smaller than the sum of its proper divisors (560118024).

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

264161016 is a wasteful number, since it uses less digits than its factorization.

264161016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 264161016 is about 16253.0309788667. The cubic root of 264161016 is about 641.6372597831.

The spelling of 264161016 in words is "two hundred sixty-four million, one hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 762 889 1016 1143 1524 1778 2286 2667 3048 3556 4127 4572 5334 7112 8001 8254 9144 10668 12381 16002 16508 21336 24762 28889 32004 33016 37143 49524 57778 64008 74286 86667 99048 115556 148572 173334 231112 260001 297144 346668 520002 524129 693336 1040004 1048258 1572387 2080008 2096516 3144774 3668903 4193032 4717161 6289548 7337806 9434322 11006709 12579096 14675612 18868644 22013418 29351224 33020127 37737288 44026836 66040254 88053672 132080508 264161016