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137337421780 = 22513528220853
BaseRepresentation
bin111111111100111110…
…0101011111111010100
3111010111021120220002001
41333321330223333110
54222231334444110
6143031505325044
712631230552406
oct1777174537724
9433437526061
10137337421780
1153276437779
122274a036784
13cc4907b720
14690bb7ab76
15388c0ce63a
hex1ff9f2bfd4

137337421780 has 24 divisors (see below), whose sum is σ = 310593862152. Its totient is φ = 50709201792.

The previous prime is 137337421759. The next prime is 137337421789. The reversal of 137337421780 is 87124733731.

It can be written as a sum of positive squares in 4 ways, for example, as 36048016 + 137301373764 = 6004^2 + 370542^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137337421780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137337421789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264110167 + ... + 264110686.

It is an arithmetic number, because the mean of its divisors is an integer number (12941410923).

Almost surely, 2137337421780 is an apocalyptic number.

137337421780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137337421780 is an abundant number, since it is smaller than the sum of its proper divisors (173256440372).

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

137337421780 is a wasteful number, since it uses less digits than its factorization.

137337421780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528220875 (or 528220873 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 137337421780 in words is "one hundred thirty-seven billion, three hundred thirty-seven million, four hundred twenty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 528220853 1056441706 2112883412 2641104265 5282208530 6866871089 10564417060 13733742178 27467484356 34334355445 68668710890 137337421780