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13115629620 = 2233546752009
BaseRepresentation
bin11000011011100000…
…01010000000110100
31020212001101000111000
430031300022000310
5203330100121440
610005241243300
7643006004142
oct141560120064
936761330430
1013115629620
115620481725
122660493530
1313103285b2
148c5c68592
1551b692730
hex30dc0a034

13115629620 has 96 divisors (see below), whose sum is σ = 40892342400. Its totient is φ = 3489944832.

The previous prime is 13115629601. The next prime is 13115629661. The reversal of 13115629620 is 2692651131.

13115629620 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 6 + 29 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226176 + ... + 278184.

It is an arithmetic number, because the mean of its divisors is an integer number (425961900).

Almost surely, 213115629620 is an apocalyptic number.

13115629620 is a gapful number since it is divisible by the number (10) 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 13115629620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446171200).

13115629620 is an abundant number, since it is smaller than the sum of its proper divisors (27776712780).

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

13115629620 is a wasteful number, since it uses less digits than its factorization.

13115629620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52494 (or 52486 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13115629620 in words is "thirteen billion, one hundred fifteen million, six hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 467 540 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 12609 14010 16812 21015 25218 28020 42030 50436 52009 63045 84060 104018 126090 156027 208036 252180 260045 312054 468081 520090 624108 780135 936162 1040180 1404243 1560270 1872324 2340405 2808486 3120540 4680810 5616972 7021215 9361620 14042430 24288203 28084860 48576406 72864609 97152812 121441015 145729218 218593827 242882030 291458436 364323045 437187654 485764060 655781481 728646090 874375308 1092969135 1311562962 1457292180 2185938270 2623125924 3278907405 4371876540 6557814810 13115629620