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104915591004 = 223759157134837
BaseRepresentation
bin110000110110101110…
…1001101111101011100
3101000210202012020102210
41201231131031331130
53204331342403004
6120110401120420
710402622544420
oct1415535157534
9330722166383
10104915591004
1140549130404
1218400029110
139b80026183
145113c2cb80
152ae0a6b089
hex186d74df5c

104915591004 has 96 divisors (see below), whose sum is σ = 286331189760. Its totient is φ = 29279907072.

The previous prime is 104915590961. The next prime is 104915591017. The reversal of 104915591004 is 400195519401.

It is a super-2 number, since 2×1049155910042 (a number of 23 digits) contains 22 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, 710674 + ... + 845510.

It is an arithmetic number, because the mean of its divisors is an integer number (2982616560).

Almost surely, 2104915591004 is an apocalyptic number.

104915591004 is a gapful number since it is divisible by the number (14) 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 104915591004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143165594880).

104915591004 is an abundant number, since it is smaller than the sum of its proper divisors (181415598756).

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

104915591004 is a wasteful number, since it uses less digits than its factorization.

104915591004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135067 (or 135065 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 104915591004 in words is "one hundred four billion, nine hundred fifteen million, five hundred ninety-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 157 177 236 314 354 413 471 628 708 826 942 1099 1239 1652 1884 2198 2478 3297 4396 4956 6594 9263 13188 18526 27789 37052 55578 64841 111156 129682 134837 194523 259364 269674 389046 404511 539348 778092 809022 943859 1618044 1887718 2831577 3775436 5663154 7955383 11326308 15910766 21169409 23866149 31821532 42338818 47732298 55687681 63508227 84677636 95464596 111375362 127016454 148185863 167063043 222750724 254032908 296371726 334126086 444557589 592743452 668252172 889115178 1248995131 1778230356 2497990262 3746985393 4995980524 7493970786 8742965917 14987941572 17485931834 26228897751 34971863668 52457795502 104915591004