Search a number
-
+
137322629710692 = 223313294011120661
BaseRepresentation
bin11111001110010011101010…
…100100000100001101100100
3200000012220201011200201001020
4133032103222210010031210
5120444343221201220232
61204021051205531140
740632142531234266
oct3716235244041544
9600186634621036
10137322629710692
113a834222529408
121349a066a13ab0
135b8161216036a
1425ca644b95b36
1510d2123ec0e2c
hex7ce4ea904364

137322629710692 has 48 divisors (see below), whose sum is σ = 330756880495104. Its totient is φ = 44297448480000.

The previous prime is 137322629710687. The next prime is 137322629710699. The reversal of 137322629710692 is 296017926223731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137322629710699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121976842 + ... + 123097502.

It is an arithmetic number, because the mean of its divisors is an integer number (6890768343648).

Almost surely, 2137322629710692 is an apocalyptic number.

137322629710692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137322629710692 is an abundant number, since it is smaller than the sum of its proper divisors (193434250784412).

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

137322629710692 is a wasteful number, since it uses less digits than its factorization.

137322629710692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450100 (or 1450098 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 137322629710692 in words is "one hundred thirty-seven trillion, three hundred twenty-two billion, six hundred twenty-nine million, seven hundred ten thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 329401 658802 988203 1120661 1317604 1976406 2241322 3361983 3952812 4482644 6723966 10211431 13447932 20422862 30634293 34740491 40845724 61268586 69480982 104221473 122537172 138961964 208442946 416885892 369146854061 738293708122 1107440562183 1476587416244 2214881124366 4429762248732 11443552475891 22887104951782 34330657427673 45774209903564 68661314855346 137322629710692