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138201547032 = 23332753232409
BaseRepresentation
bin1000000010110101110…
…1000100000100011000
3111012201111121000002000
42000231131010010120
54231014044001112
6143253334441000
712661522524123
oct2005535040430
9435644530060
10138201547032
115367a19687a
122294b503160
13100560c4143
1469908393ba
1538dcdc17dc
hex202d744118

138201547032 has 64 divisors (see below), whose sum is σ = 384034284000. Its totient is φ = 46050250752.

The previous prime is 138201547013. The next prime is 138201547069. The reversal of 138201547032 is 230745102831.

138201547032 is a `hidden beast` number, since 1 + 3 + 82 + 0 + 1 + 547 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478444 + ... + 710852.

Almost surely, 2138201547032 is an apocalyptic number.

138201547032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138201547032 is an abundant number, since it is smaller than the sum of its proper divisors (245832736968).

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

138201547032 is a wasteful number, since it uses less digits than its factorization.

138201547032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235177 (or 235167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 138201547032 its reverse (230745102831), we get a palindrome (368946649863).

The spelling of 138201547032 in words is "one hundred thirty-eight billion, two hundred one million, five hundred forty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2753 5506 8259 11012 16518 22024 24777 33036 49554 66072 74331 99108 148662 198216 232409 297324 464818 594648 697227 929636 1394454 1859272 2091681 2788908 4183362 5577816 6275043 8366724 12550086 16733448 25100172 50200344 639821977 1279643954 1919465931 2559287908 3838931862 5118575816 5758397793 7677863724 11516795586 15355727448 17275193379 23033591172 34550386758 46067182344 69100773516 138201547032