Search a number
-
+
46240031016 = 233237131132499
BaseRepresentation
bin101011000100000111…
…101110000100101000
311102100112202221211100
4223010013232010220
51224144421443031
633124204201400
73224604531024
oct530407560450
9142315687740
1046240031016
1118679323773
128b65839260
13448bab02ca
14234921d384
151309734de6
hexac41ee128

46240031016 has 96 divisors (see below), whose sum is σ = 129600900000. Its totient is φ = 14882175360.

The previous prime is 46240030997. The next prime is 46240031069. The reversal of 46240031016 is 61013004264.

46240031016 is a `hidden beast` number, since 4 + 624 + 0 + 0 + 31 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282735 + ... + 415233.

It is an arithmetic number, because the mean of its divisors is an integer number (1350009375).

Almost surely, 246240031016 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 46240031016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800450000).

46240031016 is an abundant number, since it is smaller than the sum of its proper divisors (83360868984).

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

46240031016 is a wasteful number, since it uses less digits than its factorization.

46240031016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132679 (or 132672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 46240031016 in words is "forty-six billion, two hundred forty million, thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 131 148 222 262 296 333 393 444 524 666 786 888 1048 1179 1332 1572 2358 2664 3144 4716 4847 9432 9694 14541 19388 29082 38776 43623 58164 87246 116328 132499 174492 264998 348984 397497 529996 794994 1059992 1192491 1589988 2384982 3179976 4769964 4902463 9539928 9804926 14707389 17357369 19609852 29414778 34714738 39219704 44122167 52072107 58829556 69429476 88244334 104144214 117659112 138858952 156216321 176488668 208288428 312432642 352977336 416576856 624865284 642222653 1249730568 1284445306 1926667959 2568890612 3853335918 5137781224 5780003877 7706671836 11560007754 15413343672 23120015508 46240031016