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20375886720 = 2735771131163
BaseRepresentation
bin10010111110011111…
…110101101110000000
31221121000211021220010
4102332133311232000
5313212211333340
613205513544520
71320635115360
oct227637655600
957530737803
1020375886720
118706725302
123b47a15140
131bc9525807
14db41b09a0
157e3c69b80
hex4be7f5b80

20375886720 has 512 divisors, whose sum is σ = 76311797760. Its totient is φ = 4528742400.

The previous prime is 20375886689. The next prime is 20375886721. The reversal of 20375886720 is 2768857302.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20375886720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20375886721) 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, 125005359 + ... + 125005521.

It is an arithmetic number, because the mean of its divisors is an integer number (149046480).

Almost surely, 220375886720 is an apocalyptic number.

20375886720 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 20375886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38155898880).

20375886720 is an abundant number, since it is smaller than the sum of its proper divisors (55935911040).

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

20375886720 is a wasteful number, since it uses less digits than its factorization.

20375886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 20375886720 in words is "twenty billion, three hundred seventy-five million, eight hundred eighty-six thousand, seven hundred twenty".