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137515666950 = 23352293512533
BaseRepresentation
bin1000000000010010010…
…0101000111000000110
3111010221200222200111000
42000010210220320012
54223113002320300
6143101313554130
712635523611544
oct2000444507006
9433850880430
10137515666950
1153358010a32
1222799875946
13cc76c8993c
1469276d8d94
15389ca8cc00
hex2004928e06

137515666950 has 96 divisors (see below), whose sum is σ = 391998794400. Its totient is φ = 35406322560.

The previous prime is 137515666949. The next prime is 137515666993. The reversal of 137515666950 is 59666515731.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1717117 + ... + 1795416.

It is an arithmetic number, because the mean of its divisors is an integer number (4083320775).

Almost surely, 2137515666950 is an apocalyptic number.

137515666950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137515666950 is an abundant number, since it is smaller than the sum of its proper divisors (254483127450).

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

137515666950 is a wasteful number, since it uses less digits than its factorization.

137515666950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512583 (or 3512572 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 137515666950 in words is "one hundred thirty-seven billion, five hundred fifteen million, six hundred sixty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 87 90 135 145 150 174 225 261 270 290 435 450 522 675 725 783 870 1305 1350 1450 1566 2175 2610 3915 4350 6525 7830 13050 19575 39150 3512533 7025066 10537599 17562665 21075198 31612797 35125330 52687995 63225594 87813325 94838391 101863457 105375990 158063985 175626650 189676782 203726914 263439975 305590371 316127970 474191955 509317285 526879950 611180742 790319925 916771113 948383910 1018634570 1527951855 1580639850 1833542226 2370959775 2546586425 2750313339 3055903710 4583855565 4741919550 5093172850 5500626678 7639759275 9167711130 13751566695 15279518550 22919277825 27503133390 45838555650 68757833475 137515666950