Search a number
-
+
31969731131136 = 28353713889641
BaseRepresentation
bin1110100010011100010000…
…11101111011011100000000
311012012021110112022202100000
413101032020131323130000
513142243002132144021
6151554405225200000
76506510511635211
oct721161035733400
9135167415282300
1031969731131136
11a206317857737
123703b46330000
1314ab96a9c0516
147c74b3c03408
153a691576cb26
hex1d138877b700

31969731131136 has 216 divisors, whose sum is σ = 98174100881584. Its totient is φ = 10368560701440.

The previous prime is 31969731131113. The next prime is 31969731131137. The reversal of 31969731131136 is 63113113796913.

31969731131136 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 9 + 7 + 311 + 311 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31969731131137) 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, 4643125 + ... + 9246516.

Almost surely, 231969731131136 is an apocalyptic number.

31969731131136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31969731131136 is an abundant number, since it is smaller than the sum of its proper divisors (66204369750448).

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

31969731131136 is an equidigital number, since it uses as much as digits as its factorization.

31969731131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889709 (or 13889683 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The spelling of 31969731131136 in words is "thirty-one trillion, nine hundred sixty-nine billion, seven hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-six".