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45708018972 = 223711149331997
BaseRepresentation
bin101010100100011010…
…010000010100011100
311100222110200221111120
4222210122100110130
51222102223101342
632555321250540
73205454515350
oct524432202434
9140873627446
1045708018972
1118425a921a0
128a37633a50
1344057ca495
1422d86d3460
1512c7b96aec
hexaa469051c

45708018972 has 96 divisors (see below), whose sum is σ = 133861593600. Its totient is φ = 11792497920.

The previous prime is 45708018883. The next prime is 45708019039. The reversal of 45708018972 is 27981080754.

It is a super-3 number, since 3×457080189723 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28323 + ... + 303674.

It is an arithmetic number, because the mean of its divisors is an integer number (1394391600).

Almost surely, 245708018972 is an apocalyptic number.

45708018972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45708018972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66930796800).

45708018972 is an abundant number, since it is smaller than the sum of its proper divisors (88153574628).

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

45708018972 is a wasteful number, since it uses less digits than its factorization.

45708018972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332171 (or 332169 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 45708018972 in words is "forty-five billion, seven hundred eight million, eighteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 447 462 596 894 924 1043 1639 1788 2086 3129 3278 4172 4917 6258 6556 9834 11473 12516 19668 22946 34419 45892 68838 137676 331997 663994 995991 1327988 1991982 2323979 3651967 3983964 4647958 6971937 7303934 9295916 10955901 13943874 14607868 21911802 25563769 27887748 43823604 49467553 51127538 76691307 98935106 102255076 148402659 153382614 197870212 296805318 306765228 346272871 544143083 593610636 692545742 1038818613 1088286166 1385091484 1632429249 2077637226 2176572332 3264858498 3809001581 4155274452 6529716996 7618003162 11427004743 15236006324 22854009486 45708018972