Search a number
-
+
55396315584 = 263371944587
BaseRepresentation
bin110011100101111000…
…001011000111000000
312021222122221101222000
4303211320023013000
51401422424044314
641240531144000
74000525625151
oct634570130700
9167878841860
1055396315584
11215478598a5
12a8a0145000
1352baa4cb7c
1429772b7928
1516934d3209
hexce5e0b1c0

55396315584 has 112 divisors (see below), whose sum is σ = 163085068800. Its totient is φ = 18439342848.

The previous prime is 55396315571. The next prime is 55396315607. The reversal of 55396315584 is 48551369355.

55396315584 is a `hidden beast` number, since 5 + 53 + 9 + 6 + 3 + 1 + 5 + 584 = 666.

It is a super-2 number, since 2×553963155842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55396315584.

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, 1220139 + ... + 1264725.

Almost surely, 255396315584 is an apocalyptic number.

55396315584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55396315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81542534400).

55396315584 is an abundant number, since it is smaller than the sum of its proper divisors (107688753216).

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

55396315584 is a wasteful number, since it uses less digits than its factorization.

55396315584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45327 (or 45311 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 55396315584 in words is "fifty-five billion, three hundred ninety-six million, three hundred fifteen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 719 864 1438 1728 2157 2876 4314 5752 6471 8628 11504 12942 17256 19413 23008 25884 34512 38826 44587 46016 51768 69024 77652 89174 103536 133761 138048 155304 178348 207072 267522 310608 356696 401283 414144 535044 621216 713392 802566 1070088 1203849 1242432 1426784 1605132 2140176 2407698 2853568 3210264 4280352 4815396 6420528 8560704 9630792 12841056 19261584 25682112 32058053 38523168 64116106 77046336 96174159 128232212 192348318 256464424 288522477 384696636 512928848 577044954 769393272 865567431 1025857696 1154089908 1538786544 1731134862 2051715392 2308179816 3077573088 3462269724 4616359632 6155146176 6924539448 9232719264 13849078896 18465438528 27698157792 55396315584