Search a number
-
+
46324652352 = 2631143150891
BaseRepresentation
bin101011001001001010…
…100001100101000000
311102120110000011110220
4223021022201211000
51224333102333402
633140430023040
73226653022326
oct531112414500
9142513004426
1046324652352
1118712070a60
128b8a047a80
1344a349acc4
142356569d16
151311d9cdbc
hexac92a1940

46324652352 has 112 divisors (see below), whose sum is σ = 134022657024. Its totient is φ = 14004928000.

The previous prime is 46324652317. The next prime is 46324652369. The reversal of 46324652352 is 25325642364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884827 + ... + 935717.

Almost surely, 246324652352 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 46324652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67011328512).

46324652352 is an abundant number, since it is smaller than the sum of its proper divisors (87698004672).

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

46324652352 is a wasteful number, since it uses less digits than its factorization.

46324652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51348 (or 51338 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 46324652352 in words is "forty-six billion, three hundred twenty-four million, six hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 431 528 704 862 1056 1293 1724 2112 2586 3448 4741 5172 6896 9482 10344 13792 14223 18964 20688 27584 28446 37928 41376 50891 56892 75856 82752 101782 113784 151712 152673 203564 227568 303424 305346 407128 455136 559801 610692 814256 910272 1119602 1221384 1628512 1679403 2239204 2442768 3257024 3358806 4478408 4885536 6717612 8956816 9771072 13435224 17913632 21934021 26870448 35827264 43868042 53740896 65802063 87736084 107481792 131604126 175472168 241274231 263208252 350944336 482548462 526416504 701888672 723822693 965096924 1052833008 1403777344 1447645386 1930193848 2105666016 2895290772 3860387696 4211332032 5790581544 7720775392 11581163088 15441550784 23162326176 46324652352