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52654397264 = 24723116712973
BaseRepresentation
bin110001000010011100…
…100101011101010000
312000220120112112010122
4301002130211131100
51330314011203024
640104502245412
73542552664200
oct610234453520
9160816475118
1052654397264
1120370041aa7
12a255a26868
134c7197a6b1
142797092400
15158291cd5e
hexc42725750

52654397264 has 120 divisors (see below), whose sum is σ = 123245111808. Its totient is φ = 21705788160.

The previous prime is 52654397261. The next prime is 52654397287. The reversal of 52654397264 is 46279345625.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52654397261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4052282 + ... + 4065254.

Almost surely, 252654397264 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 52654397264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61622555904).

52654397264 is an abundant number, since it is smaller than the sum of its proper divisors (70590714544).

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

52654397264 is a wasteful number, since it uses less digits than its factorization.

52654397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13180 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 53.

The spelling of 52654397264 in words is "fifty-two billion, six hundred fifty-four million, three hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 167 196 217 248 334 392 434 496 668 784 868 1169 1336 1519 1736 2338 2672 3038 3472 4676 5177 6076 8183 9352 10354 12152 12973 16366 18704 20708 24304 25946 32732 36239 41416 51892 65464 72478 82832 90811 103784 130928 144956 181622 207568 253673 289912 363244 402163 507346 579824 635677 726488 804326 1014692 1271354 1452976 1608652 2029384 2166491 2542708 2815141 3217304 4058768 4332982 5085416 5630282 6434608 8665964 10170832 11260564 15165437 17331928 19705987 22521128 30330874 34663856 39411974 45042256 60661748 67161221 78823948 106158059 121323496 134322442 157647896 212316118 242646992 268644884 315295792 424632236 470128547 537289768 849264472 940257094 1074579536 1698528944 1880514188 3290899829 3761028376 6581799658 7522056752 13163599316 26327198632 52654397264