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46011116992 = 264737394091
BaseRepresentation
bin101010110110011110…
…011110110111000000
311101202121000220211011
4222312132132313000
51223212321220432
633045345530304
73216125020141
oct526636366700
9141677026734
1046011116992
1118571092225
128b01043994
134453541419
142326a71ac8
1512e45b8847
hexab679edc0

46011116992 has 56 divisors (see below), whose sum is σ = 93293671680. Its totient is φ = 22504554240.

The previous prime is 46011116911. The next prime is 46011116993. The reversal of 46011116992 is 29961111064.

It is a super-2 number, since 2×460111169922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46011116993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11244867 + ... + 11248957.

Almost surely, 246011116992 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 46011116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46646835840).

46011116992 is an abundant number, since it is smaller than the sum of its proper divisors (47282554688).

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

46011116992 is a wasteful number, since it uses less digits than its factorization.

46011116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 46011116992 in words is "forty-six billion, eleven million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 3739 4091 7478 8182 14956 16364 29912 32728 59824 65456 119648 130912 175733 192277 239296 261824 351466 384554 702932 769108 1405864 1538216 2811728 3076432 5623456 6152864 11246912 12305728 15296249 30592498 61184996 122369992 244739984 489479968 718923703 978959936 1437847406 2875694812 5751389624 11502779248 23005558496 46011116992