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54352994112 = 2633131240109
BaseRepresentation
bin110010100111101100…
…001101111101000000
312012021221202011222000
4302213230031331000
51342303331302422
640545221144000
73632626553454
oct624754157500
9165257664860
1054352994112
1121061936a4a
12a64a85b000
1351828553a1
1428b88d0664
151631ae5cac
hexca7b0df40

54352994112 has 112 divisors (see below), whose sum is σ = 161008161600. Its totient is φ = 17979287040.

The previous prime is 54352994093. The next prime is 54352994131. The reversal of 54352994112 is 21149925345.

It is a happy number.

54352994112 is a `hidden beast` number, since 5 + 4 + 3 + 529 + 9 + 4 + 112 = 666.

54352994112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54352994093) and next prime (54352994131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106314 + ... + 346422.

Almost surely, 254352994112 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 54352994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80504080800).

54352994112 is an abundant number, since it is smaller than the sum of its proper divisors (106655167488).

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

54352994112 is a wasteful number, since it uses less digits than its factorization.

54352994112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240261 (or 240245 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 54352994112 in words is "fifty-four billion, three hundred fifty-two million, nine hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 576 786 864 1048 1179 1572 1728 2096 2358 3144 3537 4192 4716 6288 7074 8384 9432 12576 14148 18864 25152 28296 37728 56592 75456 113184 226368 240109 480218 720327 960436 1440654 1920872 2160981 2881308 3841744 4321962 5762616 6482943 7683488 8643924 11525232 12965886 15366976 17287848 23050464 25931772 31454279 34575696 46100928 51863544 62908558 69151392 94362837 103727088 125817116 138302784 188725674 207454176 251634232 283088511 377451348 414908352 503268464 566177022 754902696 849265533 1006536928 1132354044 1509805392 1698531066 2013073856 2264708088 3019610784 3397062132 4529416176 6039221568 6794124264 9058832352 13588248528 18117664704 27176497056 54352994112