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53628606072 = 2332839979001
BaseRepresentation
bin110001111100100000…
…111001011001111000
312010102110200110101100
4301330200321121320
51334312410343242
640345303051400
73605652426126
oct617440713170
9163373613340
1053628606072
112081aa4a548
12a488140b60
135098757502
14284a608916
1515dd20754c
hexc7c839678

53628606072 has 96 divisors (see below), whose sum is σ = 147157854480. Its totient is φ = 17641152000.

The previous prime is 53628606061. The next prime is 53628606089. The reversal of 53628606072 is 27060682635.

It is a happy number.

53628606072 is a `hidden beast` number, since 5 + 36 + 2 + 8 + 6 + 0 + 607 + 2 = 666.

53628606072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953572 + ... + 5962572.

Almost surely, 253628606072 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 53628606072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73578927240).

53628606072 is an abundant number, since it is smaller than the sum of its proper divisors (93529248408).

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

53628606072 is a wasteful number, since it uses less digits than its factorization.

53628606072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 53628606072 in words is "fifty-three billion, six hundred twenty-eight million, six hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 997 1494 1992 1994 2988 2991 3988 5976 5982 7976 8973 9001 11964 17946 18002 23928 27003 35892 36004 54006 71784 72008 81009 82751 108012 162018 165502 216024 248253 324036 331004 496506 648072 662008 744759 747083 993012 1489518 1494166 1986024 2241249 2979036 2988332 4482498 5958072 5976664 6723747 8964996 8973997 13447494 17929992 17947994 26894988 26921991 35895988 53789976 53843982 71791976 80765973 107687964 161531946 215375928 323063892 646127784 744841751 1489683502 2234525253 2979367004 4469050506 5958734008 6703575759 8938101012 13407151518 17876202024 26814303036 53628606072