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23780231640 = 2333511371233
BaseRepresentation
bin10110001001011010…
…011000100111011000
32021101021200221012000
4112021122120213120
5342200214403030
614531404521000
71501203430254
oct261132304730
967337627160
1023780231640
11a0a3359000
124737b50160
13231c9101a9
14121838d264
15942a7e860
hex5896989d8

23780231640 has 512 divisors, whose sum is σ = 88795699200. Its totient is φ = 5659315200.

The previous prime is 23780231627. The next prime is 23780231647. The reversal of 23780231640 is 4613208732.

It is a happy number.

23780231640 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 0 + 2 + 3 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23780231595 and 23780231604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23780231647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102060964 + ... + 102061196.

It is an arithmetic number, because the mean of its divisors is an integer number (173429100).

Almost surely, 223780231640 is an apocalyptic number.

23780231640 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 23780231640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44397849600).

23780231640 is an abundant number, since it is smaller than the sum of its proper divisors (65015467560).

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

23780231640 is a wasteful number, since it uses less digits than its factorization.

23780231640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23780231640 in words is "twenty-three billion, seven hundred eighty million, two hundred thirty-one thousand, six hundred forty".