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13794325920 = 253451064377
BaseRepresentation
bin11001101100011010…
…01011010110100000
31022121100110100210000
430312031023112200
5211222321412140
610200444140000
7665556556434
oct146615132640
938540410700
1013794325920
1159395a0261
12280b837600
1313bab1903b
1494c0589c4
1555b057a30
hex33634b5a0

13794325920 has 120 divisors (see below), whose sum is σ = 48682520964. Its totient is φ = 3678483456.

The previous prime is 13794325901. The next prime is 13794325927. The reversal of 13794325920 is 2952349731.

13794325920 is a `hidden beast` number, since 1 + 379 + 4 + 3 + 259 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13748031504 + 46294416 = 117252^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13794325927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519229 + ... + 545148.

Almost surely, 213794325920 is an apocalyptic number.

13794325920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13794325920 is an abundant number, since it is smaller than the sum of its proper divisors (34888195044).

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

13794325920 is a wasteful number, since it uses less digits than its factorization.

13794325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064404 (or 1064387 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13794325920 in words is "thirteen billion, seven hundred ninety-four million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 1064377 2128754 3193131 4257508 5321885 6386262 8515016 9579393 10643770 12772524 15965655 17030032 19158786 21287540 25545048 28738179 31931310 34060064 38317572 42575080 47896965 51090096 57476358 63862620 76635144 85150160 86214537 95793930 102180192 114952716 127725240 143690895 153270288 170300320 172429074 191587860 229905432 255450480 287381790 306540576 344858148 383175720 431072685 459810864 510900960 574763580 689716296 766351440 862145370 919621728 1149527160 1379432592 1532702880 1724290740 2299054320 2758865184 3448581480 4598108640 6897162960 13794325920