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46126996656 = 24313972692833
BaseRepresentation
bin101010111101011000…
…100001110010110000
311102001200002012211120
4222331120201302300
51223432002343111
633105045342240
73222033000546
oct527530416260
9142050065746
1046126996656
111862053a344
128b33a07980
134471554a80
1423381d7d96
1512ee858406
hexabd621cb0

46126996656 has 160 divisors (see below), whose sum is σ = 130178543040. Its totient is φ = 13989445632.

The previous prime is 46126996633. The next prime is 46126996661. The reversal of 46126996656 is 65669962164.

It is a self number, because there is not a number n which added to its sum of digits gives 46126996656.

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 31 ways as a sum of consecutive naturals, for example, 16280616 + ... + 16283448.

It is an arithmetic number, because the mean of its divisors is an integer number (813615894).

Almost surely, 246126996656 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 46126996656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089271520).

46126996656 is an abundant number, since it is smaller than the sum of its proper divisors (84051546384).

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

46126996656 is a wasteful number, since it uses less digits than its factorization.

46126996656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3217 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 60.

The spelling of 46126996656 in words is "forty-six billion, one hundred twenty-six million, nine hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 269 291 312 388 538 582 624 776 807 1076 1164 1261 1552 1614 2152 2328 2522 2833 3228 3497 3783 4304 4656 5044 5666 6456 6994 7566 8499 10088 10491 11332 12912 13988 15132 16998 20176 20982 22664 26093 27976 30264 33996 36829 41964 45328 52186 55952 60528 67992 73658 78279 83928 104372 110487 135984 147316 156558 167856 208744 220974 274801 294632 313116 339209 417488 441948 549602 589264 626232 678418 762077 824403 883896 1017627 1099204 1252464 1356836 1524154 1648806 1767792 2035254 2198408 2286231 2713672 3048308 3297612 3572413 4070508 4396816 4572462 5427344 6096616 6595224 7144826 8141016 9144924 9907001 10717239 12193232 13190448 14289652 16282032 18289848 19814002 21434478 28579304 29721003 36579696 39628004 42868956 57158608 59442006 73921469 79256008 85737912 118884012 147842938 158512016 171475824 221764407 237768024 295685876 443528814 475536048 591371752 887057628 960979097 1182743504 1774115256 1921958194 2882937291 3548230512 3843916388 5765874582 7687832776 11531749164 15375665552 23063498328 46126996656