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23720561040 = 243511171015233
BaseRepresentation
bin10110000101110110…
…110000100110010000
32021020010102100111210
4112011312300212100
5342034430423130
614521433540120
71466550304431
oct260566604620
967203370453
1023720561040
11a072702660
12471bb74640
13231044a147
141210499488
1593c6e45b0
hex585db0990

23720561040 has 320 divisors, whose sum is σ = 85794723072. Its totient is φ = 5357568000.

The previous prime is 23720561009. The next prime is 23720561041. The reversal of 23720561040 is 4016502732.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23720560989 and 23720561007.

It is not an unprimeable number, because it can be changed into a prime (23720561041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4530264 + ... + 4535496.

Almost surely, 223720561040 is an apocalyptic number.

23720561040 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 23720561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42897361536).

23720561040 is an abundant number, since it is smaller than the sum of its proper divisors (62074162032).

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

23720561040 is a wasteful number, since it uses less digits than its factorization.

23720561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 23720561040 in words is "twenty-three billion, seven hundred twenty million, five hundred sixty-one thousand, forty".