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13378310370 = 2325401370693
BaseRepresentation
bin11000111010110100…
…01101000011100010
31021112100122120201200
430131122031003202
5204344321412440
610051303342030
7652345522215
oct143532150342
937470576650
1013378310370
115745786657
122714451916
13135288aaa9
1490cac577c
1553477dc30
hex31d68d0e2

13378310370 has 48 divisors (see below), whose sum is σ = 34870443192. Its totient is φ = 3558643200.

The previous prime is 13378310339. The next prime is 13378310399. The reversal of 13378310370 is 7301387331.

13378310370 is a `hidden beast` number, since 1 + 337 + 8 + 310 + 3 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13353420249 + 24890121 = 115557^2 + 4989^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149257 + ... + 221436.

Almost surely, 213378310370 is an apocalyptic number.

13378310370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13378310370 is an abundant number, since it is smaller than the sum of its proper divisors (21492132822).

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

13378310370 is a wasteful number, since it uses less digits than its factorization.

13378310370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371107 (or 371104 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13378310370 in words is "thirteen billion, three hundred seventy-eight million, three hundred ten thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 401 802 1203 2005 2406 3609 4010 6015 7218 12030 18045 36090 370693 741386 1112079 1853465 2224158 3336237 3706930 5560395 6672474 11120790 16681185 33362370 148647893 297295786 445943679 743239465 891887358 1337831037 1486478930 2229718395 2675662074 4459436790 6689155185 13378310370