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104260753832384 = 2617417499311677
BaseRepresentation
bin10111101101001100011001…
…001100100011100111000000
3111200011020020012100101002102
4113231030121030203213000
5102131202010440114014
61005424421252205532
730650406450150212
oct2755143114434700
9450136205311072
10104260753832384
1130247812514476
12b83a5236098a8
134623992c27996
141ba6366c745b2
15c0c0dc7098de
hex5ed3193239c0

104260753832384 has 112 divisors (see below), whose sum is σ = 224436211020000. Its totient is φ = 47860667351040.

The previous prime is 104260753832383. The next prime is 104260753832387. The reversal of 104260753832384 is 483238357062401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104260753832383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334359554 + ... + 334671230.

It is an arithmetic number, because the mean of its divisors is an integer number (2003894741250).

Almost surely, 2104260753832384 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 104260753832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112218105510000).

104260753832384 is an abundant number, since it is smaller than the sum of its proper divisors (120175457187616).

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

104260753832384 is a wasteful number, since it uses less digits than its factorization.

104260753832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319246 (or 319236 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 56.

The spelling of 104260753832384 in words is "one hundred four trillion, two hundred sixty billion, seven hundred fifty-three million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 7499 11152 14998 22304 29996 44608 59992 119984 127483 239968 254966 307459 311677 479936 509932 614918 623354 1019864 1229836 1246708 2039728 2459672 2493416 4079456 4919344 4986832 5226803 5298509 8158912 9838688 9973664 10453606 10597018 12778757 19677376 19947328 20907212 21194036 25557514 41814424 42388072 51115028 83628848 84776144 102230056 167257696 169552288 204460112 217238869 334515392 339104576 408920224 434477738 817840448 868955476 1737910952 2337265823 3475821904 4674531646 6951643808 9349063292 13903287616 18698126584 37396253168 39733518991 74792506336 79467037982 95827898743 149585012672 158934075964 191655797486 317868151928 383311594972 635736303856 766623189944 1271472607712 1533246379888 1629074278631 2542945215424 3066492759776 3258148557262 6132985519552 6516297114524 13032594229048 26065188458096 52130376916192 104260753832384