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55205016672 = 2531344234789
BaseRepresentation
bin110011011010011110…
…011011010001100000
312021111022222102012010
4303122132123101200
51401024441013142
641205535032520
73663013620321
oct633236332140
9167438872163
1055205016672
112145987a123
12a84806b740
13528a221150
142959b1c448
1516817e6e9c
hexcda79b460

55205016672 has 48 divisors (see below), whose sum is σ = 156060339120. Its totient is φ = 16986158592.

The previous prime is 55205016631. The next prime is 55205016677. The reversal of 55205016672 is 27661050255.

55205016672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 55205016672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55205016677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22116147 + ... + 22118642.

It is an arithmetic number, because the mean of its divisors is an integer number (3251257065).

Almost surely, 255205016672 is an apocalyptic number.

55205016672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

55205016672 is an abundant number, since it is smaller than the sum of its proper divisors (100855322448).

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

55205016672 is a wasteful number, since it uses less digits than its factorization.

55205016672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44234815 (or 44234807 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 55205016672 in words is "fifty-five billion, two hundred five million, sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 44234789 88469578 132704367 176939156 265408734 353878312 530817468 575052257 707756624 1061634936 1150104514 1415513248 1725156771 2123269872 2300209028 3450313542 4246539744 4600418056 6900627084 9200836112 13801254168 18401672224 27602508336 55205016672