Search a number
-
+
137610312720 = 2435573376303
BaseRepresentation
bin1000000000101000110…
…1101011110000010000
3111011012022002012001220
42000022031223300100
54223311220001340
6143114534325040
712641053233666
oct2001215536020
9434168065056
10137610312720
11533a6485781
12228054b9780
13cc9077735a
1469360d4c36
1538a6035ed0
hex200a36bc10

137610312720 has 40 divisors (see below), whose sum is σ = 426591970176. Its totient is φ = 36696083328.

The previous prime is 137610312689. The next prime is 137610312737. The reversal of 137610312720 is 27213016731.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286687912 + ... + 286688391.

Almost surely, 2137610312720 is an apocalyptic number.

137610312720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137610312720 is an abundant number, since it is smaller than the sum of its proper divisors (288981657456).

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

137610312720 is a wasteful number, since it uses less digits than its factorization.

137610312720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573376319 (or 573376313 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 137610312720 in words is "one hundred thirty-seven billion, six hundred ten million, three hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 573376303 1146752606 1720128909 2293505212 2866881515 3440257818 4587010424 5733763030 6880515636 8600644545 9174020848 11467526060 13761031272 17201289090 22935052120 27522062544 34402578180 45870104240 68805156360 137610312720