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53785280076 = 223117124123813
BaseRepresentation
bin110010000101110110…
…100011111001001100
312010211101111022201020
4302011312203321030
51340123012430301
640413021114140
73612564223503
oct620566437114
9163741438636
1053785280076
11208a042aaa0
12a5106b8950
1350c2052118
14286334d83a
1515ebd54436
hexc85da3e4c

53785280076 has 96 divisors (see below), whose sum is σ = 139418205696. Its totient is φ = 16001664000.

The previous prime is 53785280071. The next prime is 53785280077. The reversal of 53785280076 is 67008258735.

53785280076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53785280071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2246746 + ... + 2270558.

It is an arithmetic number, because the mean of its divisors is an integer number (1452272976).

Almost surely, 253785280076 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 53785280076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69709102848).

53785280076 is an abundant number, since it is smaller than the sum of its proper divisors (85632925620).

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

53785280076 is a wasteful number, since it uses less digits than its factorization.

53785280076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24143 (or 24141 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 53785280076 in words is "fifty-three billion, seven hundred eighty-five million, two hundred eighty thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 241 284 426 482 723 781 852 964 1446 1562 2343 2651 2892 3124 4686 5302 7953 9372 10604 15906 17111 23813 31812 34222 47626 51333 68444 71439 95252 102666 142878 188221 205332 261943 285756 376442 523886 564663 752884 785829 1047772 1129326 1571658 1690723 2258652 3143316 3381446 5072169 5738933 6762892 10144338 11477866 17216799 18597953 20288676 22955732 34433598 37195906 55793859 63128263 68867196 74391812 111587718 126256526 189384789 223175436 252513052 378769578 407464243 757539156 814928486 1222392729 1629856972 2444785458 4482106673 4889570916 8964213346 13446320019 17928426692 26892640038 53785280076