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20642172174 = 232131741671889
BaseRepresentation
bin10011001110010111…
…101000110100001110
31222021120212222212100
4103032113220310032
5314233344002144
613252145215530
71330350365661
oct231627506416
958246788770
1020642172174
118832a71528
1240010315a6
131c3c74a980
14ddb6c96d8
1580c319269
hex4ce5e8d0e

20642172174 has 192 divisors, whose sum is σ = 53049971520. Its totient is φ = 5741936640.

The previous prime is 20642172163. The next prime is 20642172253. The reversal of 20642172174 is 47127124602.

20642172174 is a `hidden beast` number, since 2 + 0 + 642 + 1 + 7 + 2 + 1 + 7 + 4 = 666.

It is a super-2 number, since 2×206421721742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10926622 + ... + 10928510.

It is an arithmetic number, because the mean of its divisors is an integer number (276301935).

Almost surely, 220642172174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20642172174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26524985760).

20642172174 is an abundant number, since it is smaller than the sum of its proper divisors (32407799346).

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

20642172174 is a wasteful number, since it uses less digits than its factorization.

20642172174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 20642172174 its reverse (47127124602), we get a palindrome (67769296776).

The spelling of 20642172174 in words is "twenty billion, six hundred forty-two million, one hundred seventy-two thousand, one hundred seventy-four".