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13407054375 = 3541113311613
BaseRepresentation
bin11000111110001111…
…10110101000100111
31021121100201221002110
430133013312220213
5204424201220000
610054211412103
7653145040041
oct143707665047
937540657073
1013407054375
11575aa29430
122721bb4033
131358813190
14912848a91
1553705a850
hex31f1f6a27

13407054375 has 160 divisors (see below), whose sum is σ = 27106523136. Its totient is φ = 5803200000.

The previous prime is 13407054373. The next prime is 13407054443. The reversal of 13407054375 is 57345070431.

It is not a de Polignac number, because 13407054375 - 21 = 13407054373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407054373) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8311069 + ... + 8312681.

Almost surely, 213407054375 is an apocalyptic number.

13407054375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13407054375 is an abundant number, since it is smaller than the sum of its proper divisors (13699468761).

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

13407054375 is a wasteful number, since it uses less digits than its factorization.

13407054375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 13407054375 in words is "thirteen billion, four hundred seven million, fifty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 11 13 15 25 31 33 39 55 65 75 93 125 143 155 165 195 275 325 341 375 403 429 465 625 715 775 825 975 1023 1209 1375 1613 1625 1705 1875 2015 2145 2325 3575 3875 4125 4433 4839 4875 5115 6045 6875 8065 8125 8525 10075 10725 11625 13299 17743 17875 19375 20625 20969 22165 24195 24375 25575 30225 40325 42625 50003 50375 53229 53625 58125 62907 66495 88715 89375 104845 110825 120975 127875 150009 151125 201625 213125 230659 250015 251875 266145 268125 314535 332475 443575 524225 550033 554125 604875 639375 650039 691977 750045 755625 1008125 1153295 1250075 1330725 1572675 1650099 1662375 1950117 2217875 2621125 2750165 2770625 3024375 3250195 3459885 3750225 5766475 6250375 6653625 7150429 7863375 8250495 8311875 9750585 11089375 13105625 13750825 16250975 17299425 18751125 21451287 28832375 31251875 33268125 35752145 39316875 41252475 48752925 68754125 81254875 86497125 93755625 107256435 144161875 178760725 206262375 243764625 343770625 406274375 432485625 536282175 893803625 1031311875 1218823125 2681410875 4469018125 13407054375