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13117825392 = 243744388129
BaseRepresentation
bin11000011011110001…
…00010000101110000
31020212012111120111220
430031320202011300
5203331130403032
610005400305040
7643033450620
oct141570420560
936765446456
1013117825392
115621741411
122661172180
131310916b79
148c627a880
1551b97812c
hex30de22170

13117825392 has 80 divisors (see below), whose sum is σ = 38816682240. Its totient is φ = 3739447296.

The previous prime is 13117825381. The next prime is 13117825471. The reversal of 13117825392 is 29352871131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104784 + ... + 192912.

It is an arithmetic number, because the mean of its divisors is an integer number (485208528).

Almost surely, 213117825392 is an apocalyptic number.

13117825392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13117825392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408341120).

13117825392 is an abundant number, since it is smaller than the sum of its proper divisors (25698856848).

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

13117825392 is a wasteful number, since it uses less digits than its factorization.

13117825392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88590 (or 88584 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The spelling of 13117825392 in words is "thirteen billion, one hundred seventeen million, eight hundred twenty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 443 886 1329 1772 2658 3101 3544 5316 6202 7088 9303 10632 12404 18606 21264 24808 37212 49616 74424 88129 148848 176258 264387 352516 528774 616903 705032 1057548 1233806 1410064 1850709 2115096 2467612 3701418 4230192 4935224 7402836 9870448 14805672 29611344 39041147 78082294 117123441 156164588 234246882 273288029 312329176 468493764 546576058 624658352 819864087 936987528 1093152116 1639728174 1873975056 2186304232 3279456348 4372608464 6558912696 13117825392