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38832680120 = 23513701106531
BaseRepresentation
bin100100001010100110…
…111010110010111000
310201020022112112122212
4210022212322302320
51114012131230440
625501155034252
72543211222563
oct441246726270
9121208475585
1038832680120
1115518043373
127638b9b988
13387b290c40
141c455474da
1510242a4465
hex90a9bacb8

38832680120 has 64 divisors (see below), whose sum is σ = 94229684640. Its totient is φ = 14317632000.

The previous prime is 38832680077. The next prime is 38832680167. The reversal of 38832680120 is 2108623883.

It is a super-3 number, since 3×388326801203 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311255 + ... + 417785.

Almost surely, 238832680120 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 38832680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47114842320).

38832680120 is an abundant number, since it is smaller than the sum of its proper divisors (55397004520).

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

38832680120 is a wasteful number, since it uses less digits than its factorization.

38832680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107256 (or 107252 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 38832680120 in words is "thirty-eight billion, eight hundred thirty-two million, six hundred eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 701 1402 2804 3505 5608 7010 9113 14020 18226 28040 36452 45565 72904 91130 106531 182260 213062 364520 426124 532655 852248 1065310 1384903 2130620 2769806 4261240 5539612 6924515 11079224 13849030 27698060 55396120 74678231 149356462 298712924 373391155 597425848 746782310 970817003 1493564620 1941634006 2987129240 3883268012 4854085015 7766536024 9708170030 19416340060 38832680120