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46046006460 = 223251279672083
BaseRepresentation
bin101010111000100011…
…100100110010111100
311101212000200111011200
4222320203210302330
51223300234201320
633053033415500
73220030411536
oct527043446274
9141760614150
1046046006460
11185898521a3
128b1086a590
13445a838a8c
14232b554856
1512e76ab290
hexab88e4cbc

46046006460 has 144 divisors (see below), whose sum is σ = 140985901056. Its totient is φ = 12163810176.

The previous prime is 46046006441. The next prime is 46046006467. The reversal of 46046006460 is 6460064064.

It is a happy number.

46046006460 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 6 + 0 + 0 + 646 + 0 = 666.

46046006460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46046006467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22104579 + ... + 22106661.

Almost surely, 246046006460 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 46046006460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70492950528).

46046006460 is an abundant number, since it is smaller than the sum of its proper divisors (94939894596).

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

46046006460 is a wasteful number, since it uses less digits than its factorization.

46046006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 46046006460 in words is "forty-six billion, forty-six million, six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 967 1143 1270 1524 1905 1934 2083 2286 2540 2901 3810 3868 4166 4572 4835 5715 5802 6249 7620 8332 8703 9670 10415 11430 11604 12498 14505 17406 18747 19340 20830 22860 24996 29010 31245 34812 37494 41660 43515 58020 62490 74988 87030 93735 122809 124980 174060 187470 245618 264541 368427 374940 491236 529082 614045 736854 793623 1058164 1105281 1228090 1322705 1473708 1587246 1842135 2014261 2210562 2380869 2456180 2645410 3174492 3684270 3968115 4028522 4421124 4761738 5290820 5526405 6042783 7368540 7936230 8057044 9523476 10071305 11052810 11904345 12085566 15872460 18128349 20142610 22105620 23808690 24171132 30213915 36256698 40285220 47617380 60427830 72513396 90641745 120855660 181283490 255811147 362566980 511622294 767433441 1023244588 1279055735 1534866882 2302300323 2558111470 3069733764 3837167205 4604600646 5116222940 7674334410 9209201292 11511501615 15348668820 23023003230 46046006460