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137315381778 = 23221533543257
BaseRepresentation
bin111111111100010100…
…0100111001000010010
3111010102202010010212200
41333320220213020102
54222210214204103
6143025401104030
712630542326011
oct1777050471022
9433382103780
10137315381778
1153264a537a3
1222742788016
13cc446328c3
146908c80a78
15388a1c90a3
hex1ff8a27212

137315381778 has 24 divisors (see below), whose sum is σ = 297654931548. Its totient is φ = 45750521472.

The previous prime is 137315381761. The next prime is 137315381779. The reversal of 137315381778 is 877183513731.

137315381778 is a `hidden beast` number, since 1 + 3 + 7 + 31 + 538 + 1 + 7 + 78 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118444040649 + 18871341129 = 344157^2 + 137373^2 .

It is not an unprimeable number, because it can be changed into a prime (137315381779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732875 + ... + 1810382.

Almost surely, 2137315381778 is an apocalyptic number.

137315381778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137315381778 is an abundant number, since it is smaller than the sum of its proper divisors (160339549770).

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

137315381778 is a wasteful number, since it uses less digits than its factorization.

137315381778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545418 (or 3545415 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 137315381778 in words is "one hundred thirty-seven billion, three hundred fifteen million, three hundred eighty-one thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 2153 4306 6459 12918 19377 38754 3543257 7086514 10629771 21259542 31889313 63778626 7628632321 15257264642 22885896963 45771793926 68657690889 137315381778