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137057366820 = 223511207662677
BaseRepresentation
bin111111110100101000…
…0010111001100100100
3111002202202121121220010
41333221100113030210
54221143141214240
6142544023010220
712621260252553
oct1775120271444
9432682547803
10137057366820
11531423462a0
1222690299970
13cc0304502a
1468c28b9d9a
153872710280
hex1fe9417324

137057366820 has 48 divisors (see below), whose sum is σ = 418647958848. Its totient is φ = 33226028160.

The previous prime is 137057366777. The next prime is 137057366839. The reversal of 137057366820 is 28663750731.

It is a self number, because there is not a number n which added to its sum of digits gives 137057366820.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103830679 + ... + 103831998.

It is an arithmetic number, because the mean of its divisors is an integer number (8721832476).

Almost surely, 2137057366820 is an apocalyptic number.

137057366820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137057366820 is an abundant number, since it is smaller than the sum of its proper divisors (281590592028).

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

137057366820 is a wasteful number, since it uses less digits than its factorization.

137057366820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207662700 (or 207662698 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 137057366820 in words is "one hundred thirty-seven billion, fifty-seven million, three hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 207662677 415325354 622988031 830650708 1038313385 1245976062 2076626770 2284289447 2491952124 3114940155 4153253540 4568578894 6229880310 6852868341 9137157788 11421447235 12459760620 13705736682 22842894470 27411473364 34264341705 45685788940 68528683410 137057366820