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190022688128 = 27713172192971
BaseRepresentation
bin1011000011111000111…
…1000001110110000000
3200011111000012201122002
42300332033001312000
511103131302010003
6223143433403132
716504640125130
oct2607617016600
9604430181562
10190022688128
1173651943109
12309b22694a8
1314bc4246840
1492a8d86ac0
154e22598a88
hex2c3e3c1d80

190022688128 has 384 divisors, whose sum is σ = 521165164800. Its totient is φ = 67005480960.

The previous prime is 190022688127. The next prime is 190022688133. The reversal of 190022688128 is 821886220091.

It is a super-2 number, since 2×1900226881282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190022688127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63957683 + ... + 63960653.

It is an arithmetic number, because the mean of its divisors is an integer number (1357200950).

Almost surely, 2190022688128 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 190022688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260582582400).

190022688128 is an abundant number, since it is smaller than the sum of its proper divisors (331142476672).

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

190022688128 is a wasteful number, since it uses less digits than its factorization.

190022688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 190022688128 in words is "one hundred ninety billion, twenty-two million, six hundred eighty-eight thousand, one hundred twenty-eight".