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52376079816 = 2333461593887
BaseRepresentation
bin110000110001110110…
…111000110111001000
312000012011211112101000
4300301312320313020
51324231234023231
640021121055000
73532633222104
oct606166706710
9160164745330
1052376079816
1120237a27a85
12a198787460
134c29101b08
14276c124904
1515682936e6
hexc31db8dc8

52376079816 has 128 divisors (see below), whose sum is σ = 146215238400. Its totient is φ = 17371837440.

The previous prime is 52376079797. The next prime is 52376079827. The reversal of 52376079816 is 61897067325.

52376079816 is a `hidden beast` number, since 5 + 23 + 7 + 607 + 9 + 8 + 1 + 6 = 666.

52376079816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59048125 + ... + 59049011.

It is an arithmetic number, because the mean of its divisors is an integer number (1142306550).

Almost surely, 252376079816 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 52376079816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73107619200).

52376079816 is an abundant number, since it is smaller than the sum of its proper divisors (93839158584).

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

52376079816 is a wasteful number, since it uses less digits than its factorization.

52376079816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 52376079816 in words is "fifty-two billion, three hundred seventy-six million, seventy-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 461 593 887 922 1186 1383 1774 1779 1844 2372 2661 2766 3548 3558 3688 4149 4744 5322 5337 5532 7096 7116 7983 8298 10644 10674 11064 12447 14232 15966 16011 16596 21288 21348 23949 24894 31932 32022 33192 42696 47898 49788 63864 64044 95796 99576 128088 191592 273373 408907 525991 546746 817814 820119 1051982 1093492 1226721 1577973 1635628 1640238 2103964 2186984 2453442 2460357 3155946 3271256 3280476 3680163 4207928 4733919 4906884 4920714 6311892 6560952 7360326 7381071 9467838 9813768 9841428 11040489 12623784 14201757 14720652 14762142 18935676 19682856 22080978 28403514 29441304 29524284 37871352 44161956 56807028 59048568 88323912 113614056 242481851 484963702 727445553 969927404 1454891106 1939854808 2182336659 2909782212 4364673318 5819564424 6547009977 8729346636 13094019954 17458693272 26188039908 52376079816