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104017719672 = 23333115534307
BaseRepresentation
bin110000011011111110…
…0000111000101111000
3100221111011200122112000
41200313330013011320
53201012014012142
6115441324421000
710341441012636
oct1406774070570
9327434618460
10104017719672
1140128322389
12181ab3a7760
139a68cc6669
14506a8a8356
152a8bd1014c
hex1837f07178

104017719672 has 64 divisors (see below), whose sum is σ = 298258713600. Its totient is φ = 33554100960.

The previous prime is 104017719671. The next prime is 104017719761. The reversal of 104017719672 is 276917710401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104017719671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7760458 + ... + 7773849.

It is an arithmetic number, because the mean of its divisors is an integer number (4660292400).

Almost surely, 2104017719672 is an apocalyptic number.

104017719672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104017719672 is an abundant number, since it is smaller than the sum of its proper divisors (194240993928).

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

104017719672 is a wasteful number, since it uses less digits than its factorization.

104017719672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534353 (or 15534343 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 104017719672 in words is "one hundred four billion, seventeen million, seven hundred nineteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 15534307 31068614 46602921 62137228 93205842 124274456 139808763 186411684 279617526 372823368 419426289 481563517 559235052 838852578 963127034 1118470104 1444690551 1677705156 1926254068 2889381102 3355410312 3852508136 4334071653 5778762204 8668143306 11557524408 13002214959 17336286612 26004429918 34672573224 52008859836 104017719672