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2190929392080 = 243351131331261
BaseRepresentation
bin11111111000011101100…
…100010111000111010000
321202110011122011220121000
4133320131210113013100
5241344010411021310
64354255444302000
7314201162363022
oct37703544270720
97673148156530
102190929392080
11775193585000
122b47499a1900
1312b7b05b0b10
147808201a012
153becee794c0
hex1fe1d9171d0

2190929392080 has 1920 divisors, whose sum is σ = 9388214115840. Its totient is φ = 466684416000.

The previous prime is 2190929392051. The next prime is 2190929392103. The reversal of 2190929392080 is 802939290912.

2190929392080 is a `hidden beast` number, since 2 + 1 + 90 + 92 + 9 + 392 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35916875250 + ... + 35916875310.

It is an arithmetic number, because the mean of its divisors is an integer number (4889694852).

Almost surely, 22190929392080 is an apocalyptic number.

2190929392080 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 2190929392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694107057920).

2190929392080 is an abundant number, since it is smaller than the sum of its proper divisors (7197284723760).

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

2190929392080 is a wasteful number, since it uses less digits than its factorization.

2190929392080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 2190929392080 in words is "two trillion, one hundred ninety billion, nine hundred twenty-nine million, three hundred ninety-two thousand, eighty".