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138480890544 = 243535617513
BaseRepresentation
bin1000000011111000011…
…0101011001010110000
3111020102222020010100000
42000332012223022300
54232102101444134
6143341154030000
713001454101523
oct2007606531260
9436388203300
10138480890544
1153802941787
1222a08b78300
131009bc3ba69
1469b9992bba
15390769ee99
hex203e1ab2b0

138480890544 has 60 divisors (see below), whose sum is σ = 401908027976. Its totient is φ = 46160295552.

The previous prime is 138480890477. The next prime is 138480890549. The reversal of 138480890544 is 445098084831.

It is a happy number.

138480890544 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 8 + 0 + 8 + 90 + 544 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (138480890549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17804869 + ... + 17812644.

Almost surely, 2138480890544 is an apocalyptic number.

It is an amenable number.

138480890544 is an abundant number, since it is smaller than the sum of its proper divisors (263427137432).

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

138480890544 is an equidigital number, since it uses as much as digits as its factorization.

138480890544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35617536 (or 35617518 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 138480890544 in words is "one hundred thirty-eight billion, four hundred eighty million, eight hundred ninety thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 35617513 71235026 106852539 142470052 213705078 284940104 320557617 427410156 569880208 641115234 854820312 961672851 1282230468 1709640624 1923345702 2564460936 2885018553 3846691404 5128921872 5770037106 7693382808 8655055659 11540074212 15386765616 17310111318 23080148424 34620222636 46160296848 69240445272 138480890544