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55654471744 = 263727972
BaseRepresentation
bin110011110101010000…
…111101100001000000
312022122122201002122021
4303311100331201000
51402440021043434
641322312251224
74010112130054
oct636520754100
9168578632567
1055654471744
112166a5533a3
12a9526a0b14
13532c389ab1
14299d6b7c64
1516aaec8cb4
hexcf543d840

55654471744 has 63 divisors (see below), whose sum is σ = 113647454823. Its totient is φ = 27041177088.

The previous prime is 55654471721. The next prime is 55654471753. The reversal of 55654471744 is 44717445655.

The square root of 55654471744 is 235912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10097838144 + 45556633600 = 100488^2 + 213440^2 .

It is a Duffinian number.

Its product of digits (9408000) is a multiple of the sum of its prime factors (1680).

It is a junction number, because it is equal to n+sod(n) for n = 55654471691 and 55654471700.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69829554 + ... + 69830350.

Almost surely, 255654471744 is an apocalyptic number.

55654471744 is the 235912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55654471744

55654471744 is an abundant number, since it is smaller than the sum of its proper divisors (57992983079).

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

55654471744 is an frugal number, since it uses more digits than its factorization.

55654471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 836 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 52.

The spelling of 55654471744 in words is "fifty-five billion, six hundred fifty-four million, four hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 797 1184 1369 1594 2368 2738 3188 5476 6376 10952 12752 21904 25504 29489 43808 51008 58978 87616 117956 235912 471824 635209 943648 1091093 1270418 1887296 2182186 2540836 4364372 5081672 8728744 10163344 17457488 20326688 23502733 34914976 40653376 47005466 69829952 94010932 188021864 376043728 752087456 869601121 1504174912 1739202242 3478404484 6956808968 13913617936 27827235872 55654471744