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190939124544 = 2637257552793
BaseRepresentation
bin1011000111010011011…
…0111101001101000000
3200020211212122112001120
42301310312331031000
511112020403441134
6223414412032240
716536435531330
oct2616466751500
9606755575046
10190939124544
1173a82181383
1231009162680
131500c0765cc
1493549810c0
154e77c70649
hex2c74dbd340

190939124544 has 112 divisors (see below), whose sum is σ = 579611142528. Its totient is φ = 54341664768.

The previous prime is 190939124543. The next prime is 190939124549. The reversal of 190939124544 is 445421939091.

It is a happy number.

190939124544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190939124543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69012 + ... + 621804.

Almost surely, 2190939124544 is an apocalyptic number.

190939124544 is a gapful number since it is divisible by the number (14) 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 190939124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289805571264).

190939124544 is an abundant number, since it is smaller than the sum of its proper divisors (388672017984).

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

190939124544 is a wasteful number, since it uses less digits than its factorization.

190939124544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553072 (or 553062 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 190939124544 in words is "one hundred ninety billion, nine hundred thirty-nine million, one hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 257 336 448 514 672 771 1028 1344 1542 1799 2056 3084 3598 4112 5397 6168 7196 8224 10794 12336 14392 16448 21588 24672 28784 43176 49344 57568 86352 115136 172704 345408 552793 1105586 1658379 2211172 3316758 3869551 4422344 6633516 7739102 8844688 11608653 13267032 15478204 17689376 23217306 26534064 30956408 35378752 46434612 53068128 61912816 92869224 106136256 123825632 142067801 185738448 247651264 284135602 371476896 426203403 568271204 742953792 852406806 994474607 1136542408 1704813612 1988949214 2273084816 2983423821 3409627224 3977898428 4546169632 5966847642 6819254448 7955796856 9092339264 11933695284 13638508896 15911593712 23867390568 27277017792 31823187424 47734781136 63646374848 95469562272 190939124544