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20179875840 = 211351722273
BaseRepresentation
bin10010110010110100…
…000111100000000000
31221002100222220111220
4102302310013200000
5312312022011330
613134232435040
71313035054155
oct226264074000
957070886456
1020179875840
118616017443
123ab2248a80
131b97a37147
14d9614a22c
157d194c710
hex4b2d07800

20179875840 has 288 divisors, whose sum is σ = 68611037040. Its totient is φ = 5062524928.

The previous prime is 20179875817. The next prime is 20179875869. The reversal of 20179875840 is 4857897102.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8876944 + ... + 8879216.

Almost surely, 220179875840 is an apocalyptic number.

20179875840 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 20179875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34305518520).

20179875840 is an abundant number, since it is smaller than the sum of its proper divisors (48431161200).

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

20179875840 is a wasteful number, since it uses less digits than its factorization.

20179875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 20179875840 in words is "twenty billion, one hundred seventy-nine million, eight hundred seventy-five thousand, eight hundred forty".