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13667101070 = 257237753839
BaseRepresentation
bin11001011101001111…
…10110100110001110
31022021111001200002112
430232213312212032
5210442234213240
610140101224022
7662453304500
oct145647664616
938244050075
1013667101070
1158837a4357
122795102012
13139a66276c
149391bbd70
1554ecc6665
hex32e9f698e

13667101070 has 48 divisors (see below), whose sum is σ = 29390713920. Its totient is φ = 4559212224.

The previous prime is 13667101039. The next prime is 13667101081. The reversal of 13667101070 is 7010176631.

It is a super-3 number, since 3×136671010703 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 358790 + ... + 395049.

It is an arithmetic number, because the mean of its divisors is an integer number (612306540).

Almost surely, 213667101070 is an apocalyptic number.

13667101070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13667101070 is an abundant number, since it is smaller than the sum of its proper divisors (15723612850).

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

13667101070 is a wasteful number, since it uses less digits than its factorization.

13667101070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753897 (or 753890 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 13667101070 in words is "thirteen billion, six hundred sixty-seven million, one hundred one thousand, seventy".

Divisors: 1 2 5 7 10 14 35 37 49 70 74 98 185 245 259 370 490 518 1295 1813 2590 3626 9065 18130 753839 1507678 3769195 5276873 7538390 10553746 26384365 27892043 36938111 52768730 55784086 73876222 139460215 184690555 195244301 278920430 369381110 390488602 976221505 1366710107 1952443010 2733420214 6833550535 13667101070