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137685467070 = 23251980517817
BaseRepresentation
bin1000000000111010110…
…0010111111110111110
3111011101112111102110100
42000032230113332332
54223434434421240
6143130221221530
712642655105614
oct2001654277676
9434345442410
10137685467070
1153434947308
12228267018a6
13cca31cbc98
1469420996b4
1538ac92de30
hex200eb17fbe

137685467070 has 48 divisors (see below), whose sum is σ = 376823388240. Its totient is φ = 34783696512.

The previous prime is 137685466999. The next prime is 137685467077. The reversal of 137685467070 is 70764586731.

137685467070 is a `hidden beast` number, since 1 + 37 + 6 + 85 + 467 + 0 + 70 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137685466998 and 137685467016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137685467077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40257199 + ... + 40260618.

It is an arithmetic number, because the mean of its divisors is an integer number (7850487255).

Almost surely, 2137685467070 is an apocalyptic number.

137685467070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137685467070 is an abundant number, since it is smaller than the sum of its proper divisors (239137921170).

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

137685467070 is a wasteful number, since it uses less digits than its factorization.

137685467070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80517849 (or 80517846 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 137685467070 in words is "one hundred thirty-seven billion, six hundred eighty-five million, four hundred sixty-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 80517817 161035634 241553451 402589085 483106902 724660353 805178170 1207767255 1449320706 1529838523 2415534510 3059677046 3623301765 4589515569 7246603530 7649192615 9179031138 13768546707 15298385230 22947577845 27537093414 45895155690 68842733535 137685467070