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55924797211920 = 2432572131131079081
BaseRepresentation
bin11001011011101000000011…
…01011000000010100010000
321100000100200021101100122200
430231310001223000110100
524312232441041240140
6314535255215403200
714531301415656300
oct1455640153002420
9240010607340580
1055924797211920
111690163408480a
126332725523500
1325288bb7874b0
14db4abb813600
1566eaeb875030
hex32dd01ac0510

55924797211920 has 720 divisors, whose sum is σ = 237365986948272. Its totient is φ = 11695086305280.

The previous prime is 55924797211853. The next prime is 55924797211937. The reversal of 55924797211920 is 2911279742955.

55924797211920 is a `hidden beast` number, since 5 + 5 + 9 + 2 + 479 + 72 + 1 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19788155798544 + 36136641413376 = 4448388^2 + 6011376^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51286780 + ... + 52365860.

Almost surely, 255924797211920 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 55924797211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118682993474136).

55924797211920 is an abundant number, since it is smaller than the sum of its proper divisors (181441189736352).

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

55924797211920 is a wasteful number, since it uses less digits than its factorization.

55924797211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079240 (or 1079224 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 55924797211920 in words is "fifty-five trillion, nine hundred twenty-four billion, seven hundred ninety-seven million, two hundred eleven thousand, nine hundred twenty".