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46949087664 = 24324333122907
BaseRepresentation
bin101011101110011000…
…100011100110110000
311111011221222202200200
4223232120203212300
51232122431301124
633322413515200
73251304442413
oct535630434660
9144157882620
1046949087664
1118a025994a6
1291231a2b00
134572970a5b
1423b5473b7a
15134bae5bc9
hexaee6239b0

46949087664 has 120 divisors (see below), whose sum is σ = 134859945792. Its totient is φ = 15238903680.

The previous prime is 46949087623. The next prime is 46949087701. The reversal of 46949087664 is 46678094964.

46949087664 is a `hidden beast` number, since 4 + 6 + 9 + 490 + 87 + 6 + 64 = 666.

46949087664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2038099 + ... + 2061005.

Almost surely, 246949087664 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 46949087664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67429972896).

46949087664 is an abundant number, since it is smaller than the sum of its proper divisors (87910858128).

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

46949087664 is a wasteful number, since it uses less digits than its factorization.

46949087664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23295 (or 23286 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 46949087664 in words is "forty-six billion, nine hundred forty-nine million, eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 331 344 387 516 662 688 774 993 1032 1324 1548 1986 2064 2648 2979 3096 3972 5296 5958 6192 7944 11916 14233 15888 22907 23832 28466 42699 45814 47664 56932 68721 85398 91628 113864 128097 137442 170796 183256 206163 227728 256194 274884 341592 366512 412326 512388 549768 683184 824652 985001 1024776 1099536 1649304 1970002 2049552 2955003 3298608 3940004 5910006 7582217 7880008 8865009 11820012 15164434 15760016 17730018 22746651 23640024 30328868 35460036 45493302 47280048 60657736 68239953 70920072 90986604 121315472 136479906 141840144 181973208 272959812 326035331 363946416 545919624 652070662 978105993 1091839248 1304141324 1956211986 2608282648 2934317979 3912423972 5216565296 5868635958 7824847944 11737271916 15649695888 23474543832 46949087664