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46531353132 = 2232114110926293
BaseRepresentation
bin101011010101011111…
…000001101000101100
311110002211221122122100
4223111133001220230
51230244011300012
633213132215100
73235042655445
oct532537015054
9143084848570
1046531353132
1118808810350
12902730a490
134507260264
142375bb42cc
1513250cc8dc
hexad57c1a2c

46531353132 has 144 divisors (see below), whose sum is σ = 132654281760. Its totient is φ = 13629772800.

The previous prime is 46531353131. The next prime is 46531353133. The reversal of 46531353132 is 23135313564.

46531353132 is a `hidden beast` number, since 4 + 65 + 31 + 3 + 531 + 32 = 666.

46531353132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46531353131) and next prime (46531353133).

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

It is not an unprimeable number, because it can be changed into a prime (46531353131) 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, 1756578 + ... + 1782870.

It is an arithmetic number, because the mean of its divisors is an integer number (921210290).

Almost surely, 246531353132 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 46531353132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66327140880).

46531353132 is an abundant number, since it is smaller than the sum of its proper divisors (86122928628).

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

46531353132 is a wasteful number, since it uses less digits than its factorization.

46531353132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26464 (or 26459 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 46531353132 its reverse (23135313564), we get a palindrome (69666666696).

The spelling of 46531353132 in words is "forty-six billion, five hundred thirty-one million, three hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 109 123 132 164 198 218 246 327 369 396 436 451 492 654 738 902 981 1199 1308 1353 1476 1804 1962 2398 2706 3597 3924 4059 4469 4796 5412 7194 8118 8938 10791 13407 14388 16236 17876 21582 26293 26814 40221 43164 49159 52586 53628 78879 80442 98318 105172 147477 157758 160884 196636 236637 289223 294954 315516 442431 473274 578446 589908 867669 884862 946548 1078013 1156892 1735338 1769724 2156026 2603007 2865937 3234039 3470676 4312052 5206014 5731874 6468078 8597811 9702117 10412028 11463748 11858143 12936156 17195622 19404234 23716286 25793433 31525307 34391244 35574429 38808468 47432572 51586866 63050614 71148858 94575921 103173732 106723287 117503417 126101228 142297716 189151842 213446574 235006834 283727763 352510251 378303684 426893148 470013668 567455526 705020502 1057530753 1134911052 1292537587 1410041004 2115061506 2585075174 3877612761 4230123012 5170150348 7755225522 11632838283 15510451044 23265676566 46531353132