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104251015116 = 22334345474937
BaseRepresentation
bin110000100010111011…
…0000011111111001100
3100222002102200021201000
41201011312003333030
53202001224440431
6115520421020300
710350303002403
oct1410566037714
9328072607630
10104251015116
1140237a86736
1218255554690
139aa543a8c1
14508d87663a
152aa25449e6
hex1845d83fcc

104251015116 has 96 divisors (see below), whose sum is σ = 276682855680. Its totient is φ = 33927852672.

The previous prime is 104251015097. The next prime is 104251015129. The reversal of 104251015116 is 611510152401.

104251015116 is a `hidden beast` number, since 1 + 0 + 42 + 5 + 101 + 511 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104251015116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21113800 + ... + 21118736.

It is an arithmetic number, because the mean of its divisors is an integer number (2882113080).

Almost surely, 2104251015116 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 104251015116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138341427840).

104251015116 is an abundant number, since it is smaller than the sum of its proper divisors (172431840564).

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

104251015116 is a wasteful number, since it uses less digits than its factorization.

104251015116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 104251015116 its reverse (611510152401), we get a palindrome (715761167517).

The spelling of 104251015116 in words is "one hundred four billion, two hundred fifty-one million, fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4547 4644 4937 9094 9874 13641 14811 18188 19748 27282 29622 40923 44433 54564 59244 81846 88866 122769 133299 163692 177732 195521 212291 245538 266598 391042 424582 491076 533196 586563 636873 782084 849164 1173126 1273746 1759689 1910619 2346252 2547492 3519378 3821238 5279067 5731857 7038756 7642476 10558134 11463714 21116268 22448539 22927428 44897078 67345617 89794156 134691234 202036851 269382468 404073702 606110553 808147404 965287177 1212221106 1930574354 2424442212 2895861531 3861148708 5791723062 8687584593 11583446124 17375169186 26062753779 34750338372 52125507558 104251015116