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138627335574 = 23371328210691
BaseRepresentation
bin1000000100011011010…
…1010100010110010110
3111020211011210022011000
42001012311110112112
54232402044214244
6143403504524130
713005212624130
oct2010665242626
9436734708130
10138627335574
1153878576032
1222a4a020646
13100c3394820
1469d11d4050
15391547b169
hex2046d54596

138627335574 has 64 divisors (see below), whose sum is σ = 379151700480. Its totient is φ = 36561054240.

The previous prime is 138627335551. The next prime is 138627335617. The reversal of 138627335574 is 475533726831.

138627335574 is a `hidden beast` number, since 1 + 3 + 8 + 62 + 7 + 3 + 3 + 5 + 574 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138627335574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14100432 + ... + 14110259.

It is an arithmetic number, because the mean of its divisors is an integer number (5924245320).

Almost surely, 2138627335574 is an apocalyptic number.

138627335574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138627335574 is an abundant number, since it is smaller than the sum of its proper divisors (240524364906).

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

138627335574 is a wasteful number, since it uses less digits than its factorization.

138627335574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28210722 (or 28210716 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 138627335574 in words is "one hundred thirty-eight billion, six hundred twenty-seven million, three hundred thirty-five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 28210691 56421382 84632073 169264146 197474837 253896219 366738983 394949674 507792438 592424511 733477966 761688657 1100216949 1184849022 1523377314 1777273533 2200433898 2567172881 3300650847 3554547066 5134345762 5331820599 6601301694 7701518643 9901952541 10663641198 15403037286 19803905082 23104555929 46209111858 69313667787 138627335574