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45860742936 = 23324719017129
BaseRepresentation
bin101010101101100000…
…110110011100011000
311101101010002010101200
4222231200312130120
51222410322233221
633022414514200
73212320611621
oct525540663430
9141333063350
1045860742936
11184a4214a48
128a7a805960
13442b3411a8
142310acaa48
1512d62b3426
hexaad836718

45860742936 has 96 divisors (see below), whose sum is σ = 126933393600. Its totient is φ = 14951692800.

The previous prime is 45860742923. The next prime is 45860742953. The reversal of 45860742936 is 63924706854.

45860742936 is a `hidden beast` number, since 4 + 5 + 8 + 607 + 4 + 29 + 3 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6429420 + ... + 6436548.

It is an arithmetic number, because the mean of its divisors is an integer number (1322222850).

Almost surely, 245860742936 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 45860742936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63466696800).

45860742936 is an abundant number, since it is smaller than the sum of its proper divisors (81072650664).

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

45860742936 is a wasteful number, since it uses less digits than its factorization.

45860742936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45860742936 in words is "forty-five billion, eight hundred sixty million, seven hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 1901 3384 3802 5703 7129 7604 11406 14258 15208 17109 21387 22812 28516 34218 42774 45624 57032 64161 68436 85548 89347 128322 136872 171096 178694 256644 268041 335063 357388 513288 536082 670126 714776 804123 1005189 1072164 1340252 1608246 2010378 2144328 2680504 3015567 3216492 4020756 6031134 6432984 8041512 12062268 13552229 24124536 27104458 40656687 54208916 81313374 108417832 121970061 162626748 243940122 325253496 487880244 636954763 975760488 1273909526 1910864289 2547819052 3821728578 5095638104 5732592867 7643457156 11465185734 15286914312 22930371468 45860742936