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104561625636 = 223213268325163
BaseRepresentation
bin110000101100001011…
…0111100101000100100
3100222220002010221020100
41201120112330220210
53203120234010021
6120011314304100
710361064103416
oct1413026745044
9328802127210
10104561625636
1140387347a46
1218321588030
139b248b2100
1450bcc0c9b6
152abe94c626
hex18585bca24

104561625636 has 108 divisors (see below), whose sum is σ = 286634366928. Its totient is φ = 32124426048.

The previous prime is 104561625601. The next prime is 104561625643. The reversal of 104561625636 is 636526165401.

104561625636 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 6 + 1 + 6 + 2 + 5 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104561625591 and 104561625600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4142791 + ... + 4167953.

It is an arithmetic number, because the mean of its divisors is an integer number (2654021916).

Almost surely, 2104561625636 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 104561625636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143317183464).

104561625636 is an abundant number, since it is smaller than the sum of its proper divisors (182072741292).

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

104561625636 is a wasteful number, since it uses less digits than its factorization.

104561625636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25882 (or 25864 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 104561625636 in words is "one hundred four billion, five hundred sixty-one million, six hundred twenty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 683 1014 1366 1521 2028 2049 2732 3042 4098 6084 6147 8196 8879 12294 17758 24588 25163 26637 35516 50326 53274 75489 79911 100652 106548 115427 150978 159822 226467 230854 301956 319644 327119 346281 452934 461708 654238 692562 905868 981357 1038843 1308476 1385124 1962714 2077686 2944071 3925428 4155372 4252547 5888142 8505094 11776284 12757641 17010188 17186329 25515282 34372658 38272923 51030564 51558987 68745316 76545846 103117974 153091692 154676961 206235948 223422277 309353922 446844554 618707844 670266831 893689108 1340533662 2010800493 2681067324 2904489601 4021600986 5808979202 8043201972 8713468803 11617958404 17426937606 26140406409 34853875212 52280812818 104561625636