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13730071992 = 23371319330877
BaseRepresentation
bin11001100100110000…
…00100010110111000
31022102212112220221220
430302120010112320
5211104344300432
610150231032040
7664146454260
oct146230042670
938385486856
1013730071992
1159062a433a
1227b220b620
1313aa70ca70
149436d07a0
155555b472c
hex3326045b8

13730071992 has 128 divisors (see below), whose sum is σ = 44470003200. Its totient is φ = 3430522368.

The previous prime is 13730071991. The next prime is 13730072003. The reversal of 13730071992 is 29917003731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730071991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123943 + ... + 206934.

It is an arithmetic number, because the mean of its divisors is an integer number (347421900).

Almost surely, 213730071992 is an apocalyptic number.

13730071992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13730071992 is an abundant number, since it is smaller than the sum of its proper divisors (30739931208).

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

13730071992 is a wasteful number, since it uses less digits than its factorization.

13730071992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330925 (or 330921 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The spelling of 13730071992 in words is "thirteen billion, seven hundred thirty million, seventy-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 330877 661754 992631 1323508 1985262 2316139 2647016 3970524 4301401 4632278 6286663 6948417 7941048 8602802 9264556 12573326 12904203 13896834 17205604 18529112 18859989 25146652 25808406 27793668 30109807 34411208 37719978 44006641 50293304 51616812 55587336 60219614 75439956 81726619 88013282 90329421 103233624 120439228 132019923 150879912 163453238 176026564 180658842 240878456 245179857 264039846 326906476 352053128 361317684 490359714 528079692 572086333 653812952 722635368 980719428 1056159384 1144172666 1716258999 1961438856 2288345332 3432517998 4576690664 6865035996 13730071992