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54577491216 = 24359130114813
BaseRepresentation
bin110010110101000100…
…100110110100010000
312012212121011211002120
4302311010212310100
51343233314204331
641023401014240
73641324010123
oct626504466420
9165777154076
1054577491216
1121167630a46
12a6b1a84380
1351ba208a01
1428da64c3ba
15164668d796
hexcb5126d10

54577491216 has 80 divisors (see below), whose sum is σ = 143501440320. Its totient is φ = 17869196800.

The previous prime is 54577491211. The next prime is 54577491217. The reversal of 54577491216 is 61219477545.

It is not an unprimeable number, because it can be changed into a prime (54577491211) 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, 3677026 + ... + 3691838.

It is an arithmetic number, because the mean of its divisors is an integer number (1793768004).

Almost surely, 254577491216 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 54577491216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71750720160).

54577491216 is an abundant number, since it is smaller than the sum of its proper divisors (88923949104).

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

54577491216 is a wasteful number, since it uses less digits than its factorization.

54577491216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16184 (or 16178 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 54577491216 in words is "fifty-four billion, five hundred seventy-seven million, four hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1301 1416 2602 2832 3903 5204 7806 10408 14813 15612 20816 29626 31224 44439 59252 62448 76759 88878 118504 153518 177756 230277 237008 307036 355512 460554 614072 711024 873967 921108 1228144 1747934 1842216 2621901 3495868 3684432 5243802 6991736 10487604 13983472 19271713 20975208 38543426 41950416 57815139 77086852 115630278 154173704 231260556 308347408 462521112 925042224 1137031067 2274062134 3411093201 4548124268 6822186402 9096248536 13644372804 18192497072 27288745608 54577491216