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138071191800 = 233521873122861
BaseRepresentation
bin1000000010010110101…
…1110011000011111000
3111012101102022021022110
42000211223303003320
54230232211114200
6143232400452320
712655350523533
oct2004553630370
9435342267273
10138071191800
1153612651a83
122291391a0a0
13100350b2a79
14697b3c5a1a
1538d1722b50
hex2025af30f8

138071191800 has 96 divisors (see below), whose sum is σ = 428252701680. Its totient is φ = 36799027200.

The previous prime is 138071191793. The next prime is 138071191801. The reversal of 138071191800 is 8191170831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138071191801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062370 + ... + 1185230.

Almost surely, 2138071191800 is an apocalyptic number.

138071191800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138071191800 is an abundant number, since it is smaller than the sum of its proper divisors (290181509880).

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

138071191800 is a wasteful number, since it uses less digits than its factorization.

138071191800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124753 (or 124744 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 39.

The spelling of 138071191800 in words is "one hundred thirty-eight billion, seventy-one million, one hundred ninety-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1873 3746 5619 7492 9365 11238 14984 18730 22476 28095 37460 44952 46825 56190 74920 93650 112380 122861 140475 187300 224760 245722 280950 368583 374600 491444 561900 614305 737166 982888 1123800 1228610 1474332 1842915 2457220 2948664 3071525 3685830 4914440 6143050 7371660 9214575 12286100 14743320 18429150 24572200 36858300 73716600 230118653 460237306 690355959 920474612 1150593265 1380711918 1840949224 2301186530 2761423836 3451779795 4602373060 5522847672 5752966325 6903559590 9204746120 11505932650 13807119180 17258898975 23011865300 27614238360 34517797950 46023730600 69035595900 138071191800