Search a number
-
+
12352474072728 = 23324393623107867
BaseRepresentation
bin1011001111000000100011…
…0101000100011010011000
31121201212220011020012220200
42303300020311010122120
53104340331330311403
642134352004422200
72413302552132546
oct263601065043230
947655804205820
1012352474072728
113a32722649659
121475baa6a7960
136b7aaaa1036a
14309c11c72d96
151664b227cca3
hexb3c08d44698

12352474072728 has 96 divisors (see below), whose sum is σ = 33540389625600. Its totient is φ = 4106940133824.

The previous prime is 12352474072709. The next prime is 12352474072769. The reversal of 12352474072728 is 82727047425321.

12352474072728 is a `hidden beast` number, since 1 + 2 + 3 + 524 + 7 + 40 + 7 + 2 + 72 + 8 = 666.

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, 114461851 + ... + 114569717.

It is an arithmetic number, because the mean of its divisors is an integer number (349379058600).

Almost surely, 212352474072728 is an apocalyptic number.

12352474072728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12352474072728 is an abundant number, since it is smaller than the sum of its proper divisors (21187915552872).

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

12352474072728 is a wasteful number, since it uses less digits than its factorization.

12352474072728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111941 (or 111934 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 12352474072728 in words is "twelve trillion, three hundred fifty-two billion, four hundred seventy-four million, seventy-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 439 878 1317 1756 2634 3512 3623 3951 5268 7246 7902 10536 10869 14492 15804 21738 28984 31608 32607 43476 65214 86952 107867 130428 215734 260856 323601 431468 647202 862936 970803 1294404 1590497 1941606 2588808 3180994 3883212 4771491 6361988 7766424 9542982 12723976 14314473 19085964 28628946 38171928 47353613 57257892 94707226 114515784 142060839 189414452 284121678 378828904 390802141 426182517 568243356 781604282 852365034 1136486712 1172406423 1563208564 1704730068 2344812846 3126417128 3409460136 3517219269 4689625692 7034438538 9379251384 14068877076 28137754152 171562139899 343124279798 514686419697 686248559596 1029372839394 1372497119192 1544059259091 2058745678788 3088118518182 4117491357576 6176237036364 12352474072728