Search a number
-
+
46753887672 = 23325388113907
BaseRepresentation
bin101011100010101111…
…111011010110111000
311110200100200120122100
4223202233323112320
51231222443401142
633251202023400
73243414326262
oct534257732670
9143610616570
1046753887672
1118912394898
129089947b60
1345413a74bb
142397580b32
1513398d8b4c
hexae2bfb5b8

46753887672 has 96 divisors (see below), whose sum is σ = 129169993680. Its totient is φ = 15272125440.

The previous prime is 46753887671. The next prime is 46753887683. The reversal of 46753887672 is 27678835764.

46753887672 is a `hidden beast` number, since 467 + 5 + 38 + 8 + 76 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46753887671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354943 + ... + 3368849.

Almost surely, 246753887672 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 46753887672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64584996840).

46753887672 is an abundant number, since it is smaller than the sum of its proper divisors (82416106008).

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

46753887672 is a wasteful number, since it uses less digits than its factorization.

46753887672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14853 (or 14846 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 46753887672 in words is "forty-six billion, seven hundred fifty-three million, eight hundred eighty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 881 954 1272 1762 1908 2643 3524 3816 5286 7048 7929 10572 13907 15858 21144 27814 31716 41721 46693 55628 63432 83442 93386 111256 125163 140079 166884 186772 250326 280158 333768 373544 420237 500652 560316 737071 840474 1001304 1120632 1474142 1680948 2211213 2948284 3361896 4422426 5896568 6633639 8844852 12252067 13267278 17689704 24504134 26534556 36756201 49008268 53069112 73512402 98016536 110268603 147024804 220537206 294049608 441074412 649359551 882148824 1298719102 1948078653 2597438204 3896157306 5194876408 5844235959 7792314612 11688471918 15584629224 23376943836 46753887672