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23678657640 = 233351137103523
BaseRepresentation
bin10110000011010110…
…111010010001101000
32021010012120102212000
4112003112322101220
5341443214021030
614513335451000
71465531161201
oct260326722150
967105512760
1023678657640
11a050a91a50
124709b26a60
132304868131
141208aac5a8
15938bb8860
hex5835ba468

23678657640 has 512 divisors, whose sum is σ = 89460633600. Its totient is φ = 5520337920.

The previous prime is 23678657593. The next prime is 23678657647. The reversal of 23678657640 is 4675687632.

23678657640 is a `hidden beast` number, since 2 + 3 + 67 + 8 + 6 + 576 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23678657647) 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, 45274419 + ... + 45274941.

It is an arithmetic number, because the mean of its divisors is an integer number (174727800).

Almost surely, 223678657640 is an apocalyptic number.

23678657640 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 23678657640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44730316800).

23678657640 is an abundant number, since it is smaller than the sum of its proper divisors (65781975960).

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

23678657640 is a wasteful number, since it uses less digits than its factorization.

23678657640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 23678657640 in words is "twenty-three billion, six hundred seventy-eight million, six hundred fifty-seven thousand, six hundred forty".