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54480122235 = 3357115240993
BaseRepresentation
bin110010101111010001…
…001011000101111011
312012121210221221222000
4302233101023011323
51343033402402420
641010002032043
73636032253420
oct625721130573
9165553857860
1054480122235
1121117677210
12a685348623
1351a2ca6926
1428cb743d47
15163cd58690
hexcaf44b17b

54480122235 has 64 divisors (see below), whose sum is σ = 120752501760. Its totient is φ = 22641085440.

The previous prime is 54480122233. The next prime is 54480122243. The reversal of 54480122235 is 53222108445.

54480122235 is a `hidden beast` number, since 54 + 480 + 122 + 2 + 3 + 5 = 666.

It is not a de Polignac number, because 54480122235 - 21 = 54480122233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54480122235.

It is not an unprimeable number, because it can be changed into a prime (54480122231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2610102 + ... + 2630891.

It is an arithmetic number, because the mean of its divisors is an integer number (1886757840).

Almost surely, 254480122235 is an apocalyptic number.

54480122235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54480122235 is an abundant number, since it is smaller than the sum of its proper divisors (66272379525).

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

54480122235 is a wasteful number, since it uses less digits than its factorization.

54480122235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241025 (or 5241019 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

It can be divided in two parts, 54480 and 122235, that added together give a triangular number (176715 = T594).

The spelling of 54480122235 in words is "fifty-four billion, four hundred eighty million, one hundred twenty-two thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 5240993 15722979 26204965 36686951 47168937 57650923 78614895 110060853 141506811 172952769 183434755 235844685 288254615 330182559 403556461 518858307 550304265 707534055 864763845 990547677 1210669383 1556574921 1650912795 2017782305 2594291535 3632008149 4952738385 6053346915 7782874605 10896024447 18160040745 54480122235