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138351616120 = 23517792575421
BaseRepresentation
bin1000000011011001100…
…1100010000001111000
3111020002221222022011101
42000312121202001320
54231321003203440
6143320255141144
712665324222254
oct2006631420170
9436087868141
10138351616120
1153746975a13
12229918147b4
131007b218613
1469a6741264
1538eb16669a
hex2036662078

138351616120 has 64 divisors (see below), whose sum is σ = 333774691200. Its totient is φ = 51425986560.

The previous prime is 138351616063. The next prime is 138351616147. The reversal of 138351616120 is 21616153831.

It is a self number, because there is not a number n which added to its sum of digits gives 138351616120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1233991 + ... + 1341430.

It is an arithmetic number, because the mean of its divisors is an integer number (5215229550).

Almost surely, 2138351616120 is an apocalyptic number.

138351616120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138351616120 is an abundant number, since it is smaller than the sum of its proper divisors (195423075080).

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

138351616120 is a wasteful number, since it uses less digits than its factorization.

138351616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575528 (or 2575524 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 138351616120 its reverse (21616153831), we get a palindrome (159967769951).

The spelling of 138351616120 in words is "one hundred thirty-eight billion, three hundred fifty-one million, six hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 2686 3160 5372 6715 10744 13430 26860 53720 2575421 5150842 10301684 12877105 20603368 25754210 43782157 51508420 87564314 103016840 175128628 203458259 218910785 350257256 406916518 437821570 813833036 875643140 1017291295 1627666072 1751286280 2034582590 3458790403 4069165180 6917580806 8138330360 13835161612 17293952015 27670323224 34587904030 69175808060 138351616120