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46417020672 = 2831119289181
BaseRepresentation
bin101011001110101010…
…111000011100000000
311102210212210221222210
4223032222320130000
51230030224130142
633153525502120
73232154110611
oct531652703400
9142725727883
1046417020672
111875a21a710
128bb4b71940
1344b966bc09
142364931c08
15131a04649c
hexaceab8700

46417020672 has 144 divisors (see below), whose sum is σ = 141861121920. Its totient is φ = 13325414400.

The previous prime is 46417020647. The next prime is 46417020773. The reversal of 46417020672 is 27602071464.

It is a self number, because there is not a number n which added to its sum of digits gives 46417020672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15922 + ... + 305102.

It is an arithmetic number, because the mean of its divisors is an integer number (985146680).

Almost surely, 246417020672 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 46417020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70930560960).

46417020672 is an abundant number, since it is smaller than the sum of its proper divisors (95444101248).

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

46417020672 is a wasteful number, since it uses less digits than its factorization.

46417020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289230 (or 289216 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 46417020672 in words is "forty-six billion, four hundred seventeen million, twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 6688 7296 8448 10032 13376 14592 20064 26752 40128 53504 80256 160512 289181 578362 867543 1156724 1735086 2313448 3180991 3470172 4626896 5494439 6361982 6940344 9253792 9542973 10988878 12723964 13880688 16483317 18507584 19085946 21977756 25447928 27761376 32966634 37015168 38171892 43955512 50895856 55522752 60438829 65933268 74030336 76343784 87911024 101791712 111045504 120877658 131866536 152687568 175822048 181316487 203583424 222091008 241755316 263733072 305375136 351644096 362632974 407166848 483510632 527466144 610750272 703288192 725265948 814333696 967021264 1054932288 1221500544 1406576384 1450531896 1934042528 2109864576 2443001088 2901063792 3868085056 4219729152 5802127584 7736170112 11604255168 15472340224 23208510336 46417020672