Search a number
-
+
46324465056 = 253450335531
BaseRepresentation
bin101011001001001001…
…110011110110100000
311102120102122122120000
4223021021303312200
51224333030340211
633140422020000
73226651312302
oct531111636640
9142512578500
1046324465056
1118711a53271
128b89b77600
1344a343398c
14235651b972
151311d62656
hexac9273da0

46324465056 has 120 divisors (see below), whose sum is σ = 136513659744. Its totient is φ = 15410355840.

The previous prime is 46324465001. The next prime is 46324465211. The reversal of 46324465056 is 65056442364.

It is a happy number.

46324465056 is a `hidden beast` number, since 4 + 632 + 4 + 4 + 6 + 5 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1286011 + ... + 1321541.

Almost surely, 246324465056 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 46324465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68256829872).

46324465056 is an abundant number, since it is smaller than the sum of its proper divisors (90189194688).

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

46324465056 is a wasteful number, since it uses less digits than its factorization.

46324465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36056 (or 36039 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 46324465056 in words is "forty-six billion, three hundred twenty-four million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 503 648 864 1006 1296 1509 2012 2592 3018 4024 4527 6036 8048 9054 12072 13581 16096 18108 24144 27162 35531 36216 40743 48288 54324 71062 72432 81486 106593 108648 142124 144864 162972 213186 217296 284248 319779 325944 426372 434592 568496 639558 651888 852744 959337 1136992 1279116 1303776 1705488 1918674 2558232 2878011 3410976 3837348 5116464 5756022 7674696 10232928 11512044 15349392 17872093 23024088 30698784 35744186 46048176 53616279 71488372 92096352 107232558 142976744 160848837 214465116 285953488 321697674 428930232 482546511 571906976 643395348 857860464 965093022 1286790696 1447639533 1715720928 1930186044 2573581392 2895279066 3860372088 5147162784 5790558132 7720744176 11581116264 15441488352 23162232528 46324465056