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23802331644 = 2232713139167313
BaseRepresentation
bin10110001010101110…
…101100000111111100
32021102211021201200200
4112022232230013330
5342221344103034
614533514323500
71501562323620
oct261256540774
967384251620
1023802331644
11a104883073
124743429590
13232437a410
14121b2a3180
15944997a99
hex58abac1fc

23802331644 has 288 divisors, whose sum is σ = 75270773760. Its totient is φ = 6175263744.

The previous prime is 23802331621. The next prime is 23802331661. The reversal of 23802331644 is 44613320832.

23802331644 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 2 + 3 + 3 + 1 + 644 = 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 = 23802331599 and 23802331608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76045632 + ... + 76045944.

Almost surely, 223802331644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23802331644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635386880).

23802331644 is an abundant number, since it is smaller than the sum of its proper divisors (51468442116).

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

23802331644 is a wasteful number, since it uses less digits than its factorization.

23802331644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23802331644 in words is "twenty-three billion, eight hundred two million, three hundred thirty-one thousand, six hundred forty-four".