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20232925713000 = 233353711131931241
BaseRepresentation
bin1001001100110110110000…
…10110011001001001101000
32122122020201101021201021000
410212123120112121021220
510122444012440304000
6111010513332315000
74155531521640150
oct446333026311150
978566641251230
1020232925713000
1164a08101037a0
122329339a72a60
13b39c58b6c610
144dd3c9173760
15251488c02000
hex1266d8599268

20232925713000 has 6144 divisors, whose sum is σ = 104930961408000. Its totient is φ = 3471206400000.

The previous prime is 20232925712983. The next prime is 20232925713001. The reversal of 20232925713000 is 31752923202.

It is a happy number.

20232925713000 is a `hidden beast` number, since 2 + 0 + 2 + 329 + 25 + 7 + 1 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20232925713001) by changing a digit.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 493485992980 + ... + 493485993020.

It is an arithmetic number, because the mean of its divisors is an integer number (17078607000).

Almost surely, 220232925713000 is an apocalyptic number.

20232925713000 is a gapful number since it is divisible by the number (20) 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 20232925713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52465480704000).

20232925713000 is an abundant number, since it is smaller than the sum of its proper divisors (84698035695000).

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

20232925713000 is a wasteful number, since it uses less digits than its factorization.

20232925713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20232925713000 in words is "twenty trillion, two hundred thirty-two billion, nine hundred twenty-five million, seven hundred thirteen thousand".