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23778800640 = 21034578191
BaseRepresentation
bin10110001001010100…
…111011010000000000
32021101012000020020000
4112021110323100000
5342144333110030
614531314120000
71501155320250
oct261124732000
967335006200
1023778800640
11a0a2570961
124737580000
13231c52ba4a
1412180d9960
1594289a860
hex58953b400

23778800640 has 440 divisors, whose sum is σ = 97394491392. Its totient is φ = 5434490880.

The previous prime is 23778800629. The next prime is 23778800681. The reversal of 23778800640 is 4600887732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2898945 + ... + 2907135.

Almost surely, 223778800640 is an apocalyptic number.

23778800640 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 23778800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48697245696).

23778800640 is an abundant number, since it is smaller than the sum of its proper divisors (73615690752).

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

23778800640 is an equidigital number, since it uses as much as digits as its factorization.

23778800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 23778800640 in words is "twenty-three billion, seven hundred seventy-eight million, eight hundred thousand, six hundred forty".