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137680656680 = 2357270245233
BaseRepresentation
bin1000000000111001101…
…0000001100100101000
3111011101012110000211202
42000032122001210220
54223432222003210
6143125530143332
712642566162300
oct2001632014450
9434335400752
10137680656680
1153432161186
1222824b81b48
13cca22065b8
1469415a6600
1538ac2cd9a5
hex200e681928

137680656680 has 48 divisors (see below), whose sum is σ = 360358050420. Its totient is φ = 47204795904.

The previous prime is 137680656671. The next prime is 137680656721. The reversal of 137680656680 is 86656086731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131814015844 + 5866640836 = 363062^2 + 76594^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35120657 + ... + 35124576.

Almost surely, 2137680656680 is an apocalyptic number.

137680656680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137680656680 is an abundant number, since it is smaller than the sum of its proper divisors (222677393740).

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

137680656680 is a wasteful number, since it uses less digits than its factorization.

137680656680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70245258 (or 70245247 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 137680656680 in words is "one hundred thirty-seven billion, six hundred eighty million, six hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 70245233 140490466 280980932 351226165 491716631 561961864 702452330 983433262 1404904660 1966866524 2458583155 2809809320 3442016417 3933733048 4917166310 6884032834 9834332620 13768065668 17210082085 19668665240 27536131336 34420164170 68840328340 137680656680