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13793772120 = 23351758711519
BaseRepresentation
bin11001101100010110…
…00100001001011000
31022121022102020002220
430312023010021120
5211222201201440
610200424224040
7665552062032
oct146613041130
938538366086
1013793772120
115939252177
12280b60b020
1313ba983c4b
1494bd52c52
1555ae988d0
hex3362c4258

13793772120 has 128 divisors (see below), whose sum is σ = 43893964800. Its totient is φ = 3455768576.

The previous prime is 13793772089. The next prime is 13793772127. The reversal of 13793772120 is 2127739731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793772127) 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, 1191721 + ... + 1203239.

It is an arithmetic number, because the mean of its divisors is an integer number (342921600).

Almost surely, 213793772120 is an apocalyptic number.

13793772120 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 13793772120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946982400).

13793772120 is an abundant number, since it is smaller than the sum of its proper divisors (30100192680).

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

13793772120 is a wasteful number, since it uses less digits than its factorization.

13793772120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12137 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The spelling of 13793772120 in words is "thirteen billion, seven hundred ninety-three million, seven hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 587 680 1020 1174 1761 2040 2348 2935 3522 4696 5870 7044 8805 9979 11519 11740 14088 17610 19958 23038 23480 29937 34557 35220 39916 46076 49895 57595 59874 69114 70440 79832 92152 99790 115190 119748 138228 149685 172785 195823 199580 230380 239496 276456 299370 345570 391646 399160 460760 587469 598740 691140 783292 979115 1174938 1197480 1382280 1566584 1958230 2349876 2937345 3916460 4699752 5874690 6761653 7832920 11749380 13523306 20284959 23498760 27046612 33808265 40569918 54093224 67616530 81139836 101424795 114948101 135233060 162279672 202849590 229896202 270466120 344844303 405699180 459792404 574740505 689688606 811398360 919584808 1149481010 1379377212 1724221515 2298962020 2758754424 3448443030 4597924040 6896886060 13793772120