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54996816196 = 227423932
BaseRepresentation
bin110011001110000100…
…001101000101000100
312020221211012201211101
4303032010031011010
51400113141104241
641133140345444
73654605140000
oct631604150504
9166854181741
1054996816196
11213622a6013
12a7aa3a5284
1352560553ba
14293a203700
15166d3bce31
hexcce10d144

54996816196 has 45 divisors (see below), whose sum is σ = 112325424701. Its totient is φ = 23560214496.

The previous prime is 54996816143. The next prime is 54996816227. The reversal of 54996816196 is 69161869945.

The square root of 54996816196 is 234514.

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

It can be written as a sum of positive squares in only one way, i.e., 1143116100 + 53853700096 = 33810^2 + 232064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22981176 + ... + 22983568.

Almost surely, 254996816196 is an apocalyptic number.

54996816196 is the 234514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54996816196

54996816196 is an abundant number, since it is smaller than the sum of its proper divisors (57328608505).

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

54996816196 is an frugal number, since it uses more digits than its factorization.

54996816196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 2402 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 64.

Multiplying 54996816196 by its sum of digits (64), we get a square (3519796236544 = 18761122).

The spelling of 54996816196 in words is "fifty-four billion, nine hundred ninety-six million, eight hundred sixteen thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2393 2401 4786 4802 9572 9604 16751 33502 67004 117257 234514 469028 820799 1641598 3283196 5726449 5745593 11452898 11491186 22905796 22982372 40085143 80170286 160340572 280596001 561192002 1122384004 1964172007 3928344014 7856688028 13749204049 27498408098 54996816196