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13790890278624 = 2531178912185521
BaseRepresentation
bin1100100010101111000100…
…0111011011111011100000
31210211101200212002110211010
43020223301013123323200
53301422220402403444
645155240400020520
72622234055141104
oct310536107337340
953741625073733
1013790890278624
114437758041a38
121668925301740
137906245191c4
143596a8573904
1518daecd272b9
hexc8af11dbee0

13790890278624 has 48 divisors (see below), whose sum is σ = 36204160703760. Its totient is φ = 4596573112320.

The previous prime is 13790890278617. The next prime is 13790890278661. The reversal of 13790890278624 is 42687209809731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4961017 + ... + 7224504.

It is an arithmetic number, because the mean of its divisors is an integer number (754253347995).

Almost surely, 213790890278624 is an apocalyptic number.

It is an amenable number.

13790890278624 is an abundant number, since it is smaller than the sum of its proper divisors (22413270425136).

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

13790890278624 is a wasteful number, since it uses less digits than its factorization.

13790890278624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197323 (or 12197315 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 13790890278624 in words is "thirteen trillion, seven hundred ninety billion, eight hundred ninety million, two hundred seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11789 23578 35367 47156 70734 94312 141468 188624 282936 377248 565872 1131744 12185521 24371042 36556563 48742084 73113126 97484168 146226252 194968336 292452504 389936672 584905008 1169810016 143655107069 287310214138 430965321207 574620428276 861930642414 1149240856552 1723861284828 2298481713104 3447722569656 4596963426208 6895445139312 13790890278624