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191889511380 = 223357169929879
BaseRepresentation
bin1011001010110110000…
…0011001001111010100
3200100022002222011201000
42302231200121033110
511120442203331010
6224053002103300
716602125635410
oct2625540311724
9610262864630
10191889511380
117441a699046
12312334aab30
1315130c32498
149404c95d40
154ed14017c0
hex2cad8193d4

191889511380 has 192 divisors, whose sum is σ = 682698240000. Its totient is φ = 43833177216.

The previous prime is 191889511379. The next prime is 191889511391. The reversal of 191889511380 is 83115988191.

It is a happy number.

191889511380 is a `hidden beast` number, since 1 + 9 + 18 + 89 + 511 + 38 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 6407281 + ... + 6437159.

It is an arithmetic number, because the mean of its divisors is an integer number (3555720000).

Almost surely, 2191889511380 is an apocalyptic number.

191889511380 is a gapful number since it is divisible by the number (10) 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 191889511380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341349120000).

191889511380 is an abundant number, since it is smaller than the sum of its proper divisors (490808728620).

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

191889511380 is a wasteful number, since it uses less digits than its factorization.

191889511380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31603 (or 31595 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 54.

The spelling of 191889511380 in words is "one hundred ninety-one billion, eight hundred eighty-nine million, five hundred eleven thousand, three hundred eighty".