Search a number
-
+
38936336309640 = 23325731161571823
BaseRepresentation
bin10001101101001100100100…
…11111101001110110001000
312002212021111020001000201200
420312212102133221312020
520100413104043402030
6214451034515544200
711126025465621000
oct1066462237516610
9162767436030650
1038936336309640
1111451897862350
12444a1582bb060
1318958b0822033
14988758bb1000
15477c542aed60
hex2369927e9d88

38936336309640 has 1536 divisors, whose sum is σ = 164112638976000. Its totient is φ = 7934443776000.

The previous prime is 38936336309609. The next prime is 38936336309641. The reversal of 38936336309640 is 4690363363983.

38936336309640 is a `hidden beast` number, since 3 + 8 + 93 + 63 + 363 + 0 + 96 + 40 = 666.

38936336309640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38936336309641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47310250269 + ... + 47310251091.

It is an arithmetic number, because the mean of its divisors is an integer number (106844166000).

Almost surely, 238936336309640 is an apocalyptic number.

38936336309640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38936336309640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82056319488000).

38936336309640 is an abundant number, since it is smaller than the sum of its proper divisors (125176302666360).

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

38936336309640 is a wasteful number, since it uses less digits than its factorization.

38936336309640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 63.

The spelling of 38936336309640 in words is "thirty-eight trillion, nine hundred thirty-six billion, three hundred thirty-six million, three hundred nine thousand, six hundred forty".