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4131892096 = 27416112907
BaseRepresentation
bin1111011001000111…
…1010101110000000
3101122221212212101121
43312101322232000
531430231021341
61522000442024
7204251334433
oct36621725600
911587785347
104131892096
111830388762
12973919314
1350b050487
142b2a8781a
15192b294d1
hexf647ab80

4131892096 has 64 divisors (see below), whose sum is σ = 8571170160. Its totient is φ = 1982361600.

The previous prime is 4131892087. The next prime is 4131892117. The reversal of 4131892096 is 6902981314.

It is a happy number.

4131892096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313675 + ... + 326581.

Almost surely, 24131892096 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 4131892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285585080).

4131892096 is an abundant number, since it is smaller than the sum of its proper divisors (4439278064).

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

4131892096 is a wasteful number, since it uses less digits than its factorization.

4131892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13023 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 4131892096 is about 64279.7953948206. The cubic root of 4131892096 is about 1604.6598653590.

The spelling of 4131892096 in words is "four billion, one hundred thirty-one million, eight hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 128 164 244 328 488 656 976 1312 1952 2501 2624 3904 5002 5248 7808 10004 12907 20008 25814 40016 51628 80032 103256 160064 206512 320128 413024 529187 787327 826048 1058374 1574654 1652096 2116748 3149308 4233496 6298616 8466992 12597232 16933984 25194464 32280407 33867968 50388928 64560814 67735936 100777856 129121628 258243256 516486512 1032973024 2065946048 4131892096