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138541195968 = 2637553118637
BaseRepresentation
bin1000000100000110110…
…0101110001011000000
3111020121011200221211020
42001001230232023000
54232213021232333
6143351150345440
713003115510220
oct2010154561300
9436534627736
10138541195968
115383399107a
1222a251bb280
13100ab594a46
1469c39b0080
15390cb133b3
hex2041b2e2c0

138541195968 has 112 divisors (see below), whose sum is σ = 419020410624. Its totient is φ = 39573918720.

The previous prime is 138541195931. The next prime is 138541196011. The reversal of 138541195968 is 869591145831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 7424346 + ... + 7442982.

Almost surely, 2138541195968 is an apocalyptic number.

It is an amenable number.

138541195968 is an abundant number, since it is smaller than the sum of its proper divisors (280479214656).

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

138541195968 is a wasteful number, since it uses less digits than its factorization.

138541195968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24190 (or 24180 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 60.

The spelling of 138541195968 in words is "one hundred thirty-eight billion, five hundred forty-one million, one hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 5531 11062 16593 18637 22124 33186 37274 38717 44248 55911 66372 74548 77434 88496 111822 116151 130459 132744 149096 154868 176992 223644 232302 260918 265488 298192 309736 353984 391377 447288 464604 521836 530976 596384 619472 782754 894576 929208 1043672 1061952 1192768 1238944 1565508 1789152 1858416 2087344 2477888 3131016 3578304 3716832 4174688 6262032 7433664 8349376 12524064 25048128 103081247 206162494 309243741 412324988 618487482 721568729 824649976 1236974964 1443137458 1649299952 2164706187 2473949928 2886274916 3298599904 4329412374 4947899856 5772549832 6597199808 8658824748 9895799712 11545099664 17317649496 19791599424 23090199328 34635298992 46180398656 69270597984 138541195968