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20252703744 = 21032713193141
BaseRepresentation
bin10010110111001001…
…111011110000000000
31221021110000221121200
4102313021323300000
5312434143004434
613145353421200
71314611066340
oct226711736000
957243027550
1020252703744
11865313a099
123b1270a800
131ba9b55b90
14da1aa6d20
157d8036199
hex4b727bc00

20252703744 has 1056 divisors, whose sum is σ = 80114012160. Its totient is φ = 4777574400.

The previous prime is 20252703743. The next prime is 20252703749. The reversal of 20252703744 is 44730725202.

It is a happy number.

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 = 20252703699 and 20252703708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252703743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493968364 + ... + 493968404.

Almost surely, 220252703744 is an apocalyptic number.

20252703744 is a gapful number since it is divisible by the number (24) 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 20252703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40057006080).

20252703744 is an abundant number, since it is smaller than the sum of its proper divisors (59861308416).

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

20252703744 is a wasteful number, since it uses less digits than its factorization.

20252703744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 20252703744 in words is "twenty billion, two hundred fifty-two million, seven hundred three thousand, seven hundred forty-four".