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20001665376 = 25327117511201
BaseRepresentation
bin10010101000001100…
…010011000101100000
31220121221122212201100
4102220030103011200
5311430411243001
613104425034400
71305442231140
oct225014230540
956557585640
1020001665376
118534467270
123a62625a00
131b69b3b974
14d7a5da920
157c0e99586
hex4a8313160

20001665376 has 288 divisors, whose sum is σ = 71068548096. Its totient is φ = 5184000000.

The previous prime is 20001665339. The next prime is 20001665413. The reversal of 20001665376 is 67356610002.

It is an interprime number because it is at equal distance from previous prime (20001665339) and next prime (20001665413).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20001665376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16653576 + ... + 16654776.

It is an arithmetic number, because the mean of its divisors is an integer number (246765792).

Almost surely, 220001665376 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 20001665376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35534274048).

20001665376 is an abundant number, since it is smaller than the sum of its proper divisors (51066882720).

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

20001665376 is a wasteful number, since it uses less digits than its factorization.

20001665376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20001665376 in words is "twenty billion, one million, six hundred sixty-five thousand, three hundred seventy-six".