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137515041696 = 2532336147847
BaseRepresentation
bin1000000000010010001…
…0010000001110100000
3111010221122210220210110
42000010202100032200
54223112322313241
6143101252331320
712635515365624
oct2000442201640
9433848726713
10137515041696
115335772419a
1222799613b40
13cc76acb176
1469275b5184
15389c9b7816
hex20048903a0

137515041696 has 48 divisors (see below), whose sum is σ = 362526300864. Its totient is φ = 45641608704.

The previous prime is 137515041689. The next prime is 137515041743. The reversal of 137515041696 is 696140515731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3051556 + ... + 3096291.

It is an arithmetic number, because the mean of its divisors is an integer number (7552631268).

Almost surely, 2137515041696 is an apocalyptic number.

137515041696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137515041696 is an abundant number, since it is smaller than the sum of its proper divisors (225011259168).

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

137515041696 is a wasteful number, since it uses less digits than its factorization.

137515041696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148093 (or 6148085 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 137515041696 in words is "one hundred thirty-seven billion, five hundred fifteen million, forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 22368 6147847 12295694 18443541 24591388 36887082 49182776 73774164 98365552 147548328 196731104 295096656 590193312 1432448351 2864896702 4297345053 5729793404 8594690106 11459586808 17189380212 22919173616 34378760424 45838347232 68757520848 137515041696