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13799170120 = 2353114974687
BaseRepresentation
bin11001101100111111…
…01010000001001000
31022121200120110202211
430312133222001020
5211230041420440
610201140034504
7665646003451
oct146637520110
938550513684
1013799170120
1159412a982a
122811392a34
1313bbb23c28
1494c95a128
1555b6b2eea
hex3367ea048

13799170120 has 64 divisors (see below), whose sum is σ = 32265216000. Its totient is φ = 5305693440.

The previous prime is 13799170067. The next prime is 13799170123. The reversal of 13799170120 is 2107199731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13799170123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147417 + ... + 222103.

It is an arithmetic number, because the mean of its divisors is an integer number (504144000).

Almost surely, 213799170120 is an apocalyptic number.

13799170120 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 13799170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132608000).

13799170120 is an abundant number, since it is smaller than the sum of its proper divisors (18466045880).

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

13799170120 is a wasteful number, since it uses less digits than its factorization.

13799170120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74878 (or 74874 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 40.

The spelling of 13799170120 in words is "thirteen billion, seven hundred ninety-nine million, one hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 149 155 248 298 310 596 620 745 1192 1240 1490 2980 4619 5960 9238 18476 23095 36952 46190 74687 92380 149374 184760 298748 373435 597496 746870 1493740 2315297 2987480 4630594 9261188 11128363 11576485 18522376 22256726 23152970 44513452 46305940 55641815 89026904 92611880 111283630 222567260 344979253 445134520 689958506 1379917012 1724896265 2759834024 3449792530 6899585060 13799170120