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54713073132 = 223319181147311
BaseRepresentation
bin110010111101001001…
…110011110111101100
312020020001022002112000
4302331021303313230
51344023021320012
641045043012300
73644561306514
oct627511636754
9166201262460
1054713073132
1121227115713
12a72b36a090
13520c32a0b3
142910662844
151653520ddc
hexcbd273dec

54713073132 has 96 divisors (see below), whose sum is σ = 150140390400. Its totient is φ = 17182238400.

The previous prime is 54713073131. The next prime is 54713073137. The reversal of 54713073132 is 23137031745.

54713073132 is a `hidden beast` number, since 547 + 1 + 30 + 73 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54713073131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297757 + ... + 445067.

It is an arithmetic number, because the mean of its divisors is an integer number (1563962400).

Almost surely, 254713073132 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 54713073132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75070195200).

54713073132 is an abundant number, since it is smaller than the sum of its proper divisors (95427317268).

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

54713073132 is a wasteful number, since it uses less digits than its factorization.

54713073132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147524 (or 147516 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 54713073132 in words is "fifty-four billion, seven hundred thirteen million, seventy-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 181 228 342 362 513 543 684 724 1026 1086 1629 2052 2172 3258 3439 4887 6516 6878 9774 10317 13756 19548 20634 30951 41268 61902 92853 123804 147311 185706 294622 371412 441933 589244 883866 1325799 1767732 2651598 2798909 3977397 5303196 5597818 7954794 8396727 11195636 15909588 16793454 25190181 26663291 33586908 50380362 53326582 75570543 79989873 100760724 106653164 151141086 159979746 239969619 302282172 319959492 479939238 506602529 719908857 959878476 1013205058 1439817714 1519807587 2026410116 2879635428 3039615174 4559422761 6079230348 9118845522 13678268283 18237691044 27356536566 54713073132