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138981473792 = 297211234933
BaseRepresentation
bin1000000101101111110…
…0001111111000000000
3111021201212011101110022
42001123330033320000
54234113224130132
6143502555153012
713020043015100
oct2013374177000
9437655141408
10138981473792
1153a3a467347
1222b28745768
131014b869475
146a2625b200
1539365d0e12
hex205bf0fe00

138981473792 has 120 divisors (see below), whose sum is σ = 323382076776. Its totient is φ = 59498385408.

The previous prime is 138981473783. The next prime is 138981473831. The reversal of 138981473792 is 297374189831.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28171358 + ... + 28176290.

Almost surely, 2138981473792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138981473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161691038388).

138981473792 is an abundant number, since it is smaller than the sum of its proper divisors (184400602984).

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

138981473792 is an equidigital number, since it uses as much as digits as its factorization.

138981473792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6065 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 62.

The spelling of 138981473792 in words is "one hundred thirty-eight billion, nine hundred eighty-one million, four hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1123 1568 1792 2246 3136 3584 4492 4933 6272 7861 8984 9866 12544 15722 17968 19732 25088 31444 34531 35936 39464 55027 62888 69062 71872 78928 110054 125776 138124 143744 157856 220108 241717 251552 276248 287488 315712 440216 483434 503104 552496 574976 631424 880432 966868 1006208 1104992 1262848 1760864 1933736 2012416 2209984 2525696 3521728 3867472 4024832 4419968 5539759 7043456 7734944 8839936 11079518 14086912 15469888 17679872 22159036 28173824 30939776 38778313 44318072 61879552 77556626 88636144 123759104 155113252 177272288 271448191 310226504 354544576 542896382 620453008 709089152 1085792764 1240906016 1418178304 2171585528 2481812032 2836356608 4343171056 4963624064 8686342112 9927248128 17372684224 19854496256 34745368448 69490736896 138981473792