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13429072125 = 325373155009
BaseRepresentation
bin11001000000110111…
…10110000011111101
31021122220011112202200
430200123312003331
5210000320302000
610100315342113
7653533141530
oct144033660375
937586145680
1013429072125
1157713a7717
122729451939
131360251b31
1491573aa17
15538e59500
hex3206f60fd

13429072125 has 96 divisors (see below), whose sum is σ = 28559431680. Its totient is φ = 5940864000.

The previous prime is 13429072121. The next prime is 13429072183. The reversal of 13429072125 is 52127092431.

13429072125 is a `hidden beast` number, since 13 + 429 + 0 + 7 + 212 + 5 = 666.

It is not a de Polignac number, because 13429072125 - 22 = 13429072121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13429072125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13429072121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216621 + ... + 271629.

It is an arithmetic number, because the mean of its divisors is an integer number (297494080).

Almost surely, 213429072125 is an apocalyptic number.

13429072125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13429072125 is an abundant number, since it is smaller than the sum of its proper divisors (15130359555).

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

13429072125 is a wasteful number, since it uses less digits than its factorization.

13429072125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55068 (or 55055 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13429072125 in words is "thirteen billion, four hundred twenty-nine million, seventy-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 125 155 175 217 225 279 315 375 465 525 651 775 875 1085 1125 1395 1575 1953 2325 2625 3255 3875 5425 6975 7875 9765 11625 16275 27125 34875 48825 55009 81375 165027 244125 275045 385063 495081 825135 1155189 1375225 1705279 1925315 2475405 3465567 4125675 5115837 5775945 6876125 8526395 9626575 11936953 12377025 15347511 17327835 20628375 25579185 28879725 35810859 42631975 48132875 59684765 61885125 76737555 86639175 107432577 127895925 144398625 179054295 213159875 298423825 383687775 433195875 537162885 639479625 895271475 1492119125 1918438875 2685814425 4476357375 13429072125