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53923253328 = 24327131408361
BaseRepresentation
bin110010001110000100…
…111000110001010000
312011012000010002102200
4302032010320301100
51340413323101303
640434430243200
73616161043050
oct621604706120
9164160102380
1053923253328
11209612a837a
12a54a956500
1351147ccab9
1428777c7560
15160900a3a3
hexc8e138c50

53923253328 has 120 divisors (see below), whose sum is σ = 173785799616. Its totient is φ = 15288998400.

The previous prime is 53923253323. The next prime is 53923253381. The reversal of 53923253328 is 82335232935.

53923253328 is a `hidden beast` number, since 5 + 3 + 92 + 3 + 2 + 533 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53923253323) 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, 72133 + ... + 336228.

Almost surely, 253923253328 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 53923253328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86892899808).

53923253328 is an abundant number, since it is smaller than the sum of its proper divisors (119862546288).

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

53923253328 is a wasteful number, since it uses less digits than its factorization.

53923253328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408513 (or 408504 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 53923253328 in words is "fifty-three billion, nine hundred twenty-three million, two hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 131 144 168 252 262 336 393 504 524 786 917 1008 1048 1179 1572 1834 2096 2358 2751 3144 3668 4716 5502 6288 7336 8253 9432 11004 14672 16506 18864 22008 33012 44016 66024 132048 408361 816722 1225083 1633444 2450166 2858527 3266888 3675249 4900332 5717054 6533776 7350498 8575581 9800664 11434108 14700996 17151162 19601328 22868216 25726743 29401992 34302324 45736432 51453486 53495291 58803984 68604648 102906972 106990582 137209296 160485873 205813944 213981164 320971746 374467037 411627888 427962328 481457619 641943492 748934074 855924656 962915238 1123401111 1283886984 1497868148 1925830476 2246802222 2567773968 2995736296 3370203333 3851660952 4493604444 5991472592 6740406666 7703321904 8987208888 13480813332 17974417776 26961626664 53923253328