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55099723536 = 2432112131741349
BaseRepresentation
bin110011010100001100…
…110000111100010000
312021012222211222011100
4303110030300330100
51400321012123121
641151254144400
73660264631254
oct632414607420
9167188758140
1055099723536
11214053a2900
12a818952100
135271476310
142949b50264
151677449026
hexcd4330f10

55099723536 has 720 divisors, whose sum is σ = 198552135600. Its totient is φ = 14111539200.

The previous prime is 55099723501. The next prime is 55099723537. The reversal of 55099723536 is 63532799055.

55099723536 is a `hidden beast` number, since 5 + 509 + 9 + 72 + 35 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2346821136 + 52752902400 = 48444^2 + 229680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55099723537) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157878690 + ... + 157879038.

It is an arithmetic number, because the mean of its divisors is an integer number (275766855).

Almost surely, 255099723536 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 55099723536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99276067800).

55099723536 is an abundant number, since it is smaller than the sum of its proper divisors (143452412064).

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

55099723536 is a wasteful number, since it uses less digits than its factorization.

55099723536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 55099723536 in words is "fifty-five billion, ninety-nine million, seven hundred twenty-three thousand, five hundred thirty-six".