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54485677376 = 26133117312211
BaseRepresentation
bin110010101111100110…
…010111010101000000
312012122012102012011222
4302233212113111000
51343041313134001
641010321054212
73636130421234
oct625746272500
9165565365158
1054485677376
112111a820939
12a687187368
1351a41a02b0
1428cc38c5c4
15163d5a461b
hexcaf997540

54485677376 has 112 divisors (see below), whose sum is σ = 120897627648. Its totient is φ = 24193382400.

The previous prime is 54485677373. The next prime is 54485677381. The reversal of 54485677376 is 67377658445.

54485677376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54485677373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4455911 + ... + 4468121.

It is an arithmetic number, because the mean of its divisors is an integer number (1079443104).

Almost surely, 254485677376 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 54485677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60448813824).

54485677376 is an abundant number, since it is smaller than the sum of its proper divisors (66411950272).

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

54485677376 is a wasteful number, since it uses less digits than its factorization.

54485677376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440 (or 12430 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 62.

The spelling of 54485677376 in words is "fifty-four billion, four hundred eighty-five million, six hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 173 208 248 346 403 416 496 692 806 832 992 1384 1612 1984 2249 2768 3224 4498 5363 5536 6448 8996 10726 11072 12211 12896 17992 21452 24422 25792 35984 42904 48844 69719 71968 85808 97688 139438 143936 158743 171616 195376 278876 317486 343232 378541 390752 557752 634972 757082 781504 1115504 1269944 1514164 2112503 2231008 2539888 3028328 4225006 4462016 4921033 5079776 6056656 8450012 9842066 10159552 12113312 16900024 19684132 24226624 27462539 33800048 39368264 54925078 65487593 67600096 78736528 109850156 130975186 135200192 157473056 219700312 261950372 314946112 439400624 523900744 851338709 878801248 1047801488 1702677418 1757602496 2095602976 3405354836 4191205952 6810709672 13621419344 27242838688 54485677376