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4041957816 = 23321331139301
BaseRepresentation
bin1111000011101011…
…0110000110111000
3101102200122201202100
43300322312012320
531234220122231
61505025103400
7202110034401
oct36072660670
911380581670
104041957816
111794641806
12949787b60
134c5522420
142a4b569a8
15189cb21e6
hexf0eb61b8

4041957816 has 96 divisors (see below), whose sum is σ = 12169422720. Its totient is φ = 1203552000.

The previous prime is 4041957779. The next prime is 4041957833. The reversal of 4041957816 is 6187591404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40635 + ... + 98666.

It is an arithmetic number, because the mean of its divisors is an integer number (126764820).

Almost surely, 24041957816 is an apocalyptic number.

It is an amenable number.

4041957816 is an abundant number, since it is smaller than the sum of its proper divisors (8127464904).

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

4041957816 is a wasteful number, since it uses less digits than its factorization.

4041957816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139357 (or 139350 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4041957816 is about 63576.3935435158. The cubic root of 4041957816 is about 1592.9320810922.

The spelling of 4041957816 in words is "four billion, forty-one million, nine hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 139301 278602 417903 557204 835806 1114408 1253709 1671612 1810913 2507418 3343224 3621826 4318331 5014836 5432739 7243652 8636662 10029672 10865478 12954993 14487304 16298217 17273324 21730956 25909986 32596434 34546648 38864979 43461912 51819972 56138303 65192868 77729958 103639944 112276606 130385736 155459916 168414909 224553212 310919832 336829818 449106424 505244727 673659636 1010489454 1347319272 2020978908 4041957816