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20074810752 = 2732431273191
BaseRepresentation
bin10010101100100011…
…010100110110000000
31220211001022001022100
4102230203110312000
5312103122421002
613120000510400
71310321035023
oct225443246600
956731261270
1020074810752
118571786497
123a8301b400
131b7c03c059
14d861db1ba
157c75e711c
hex4ac8d4d80

20074810752 has 192 divisors, whose sum is σ = 59594895360. Its totient is φ = 6482488320.

The previous prime is 20074810733. The next prime is 20074810759. The reversal of 20074810752 is 25701847002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×200748107522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20074810759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6289477 + ... + 6292667.

It is an arithmetic number, because the mean of its divisors is an integer number (310390080).

Almost surely, 220074810752 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 20074810752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29797447680).

20074810752 is an abundant number, since it is smaller than the sum of its proper divisors (39520084608).

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

20074810752 is a wasteful number, since it uses less digits than its factorization.

20074810752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20074810752 in words is "twenty billion, seventy-four million, eight hundred ten thousand, seven hundred fifty-two".