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104145772657520 = 24511379312262451
BaseRepresentation
bin10111101011100001010011…
…110010001011101101110000
3111122202020102221222111101102
4113223201103302023231300
5102122311020300020040
61005255524002423532
730636166222246106
oct2753412362135560
9448666387874342
10104145772657520
1130202a79654a20
12b820194661ba8
134615b9a760939
141ba097a2cdc76
15c0910d178515
hex5eb853c8bb70

104145772657520 has 80 divisors (see below), whose sum is σ = 264848521288320. Its totient is φ = 37771265952000.

The previous prime is 104145772657513. The next prime is 104145772657529. The reversal of 104145772657520 is 25756277541401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104145772657529) 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, 155797706 + ... + 156464745.

It is an arithmetic number, because the mean of its divisors is an integer number (3310606516104).

Almost surely, 2104145772657520 is an apocalyptic number.

104145772657520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104145772657520 is an abundant number, since it is smaller than the sum of its proper divisors (160702748630800).

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

104145772657520 is a wasteful number, since it uses less digits than its factorization.

104145772657520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312262854 (or 312262848 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 56.

The spelling of 104145772657520 in words is "one hundred four trillion, one hundred forty-five billion, seven hundred seventy-two million, six hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 379 440 758 880 1516 1895 3032 3790 4169 6064 7580 8338 15160 16676 20845 30320 33352 41690 66704 83380 166760 333520 312262451 624524902 1249049804 1561312255 2498099608 3122624510 3434886961 4996199216 6245249020 6869773922 12490498040 13739547844 17174434805 24980996080 27479095688 34348869610 54958191376 68697739220 118347468929 137395478440 236694937858 274790956880 473389875716 591737344645 946779751432 1183474689290 1301822158219 1893559502864 2366949378580 2603644316438 4733898757160 5207288632876 6509110791095 9467797514320 10414577265752 13018221582190 20829154531504 26036443164380 52072886328760 104145772657520