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194742749560 = 23541158375013
BaseRepresentation
bin1011010101011110010…
…0101000100101111000
3200121122221211200200011
42311113210220211320
511142313120441220
6225244044551304
720032623026152
oct2652744504570
9617587750604
10194742749560
1175654229127
12318aab52534
13154970ac9b8
1495d5bb7ad2
1550ebb5565a
hex2d57928978

194742749560 has 64 divisors (see below), whose sum is σ = 449147825280. Its totient is φ = 75948149760.

The previous prime is 194742749557. The next prime is 194742749573. The reversal of 194742749560 is 65947247491.

194742749560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 194742749495 and 194742749504.

It is a congruent number.

It is an unprimeable number.

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, 2558614 + ... + 2633626.

It is an arithmetic number, because the mean of its divisors is an integer number (7017934770).

Almost surely, 2194742749560 is an apocalyptic number.

194742749560 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 194742749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224573912640).

194742749560 is an abundant number, since it is smaller than the sum of its proper divisors (254405075720).

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

194742749560 is a wasteful number, since it uses less digits than its factorization.

194742749560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76648 (or 76644 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 194742749560 in words is "one hundred ninety-four billion, seven hundred forty-two million, seven hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1583 1640 3166 6332 7915 12664 15830 31660 63320 64903 75013 129806 150026 259612 300052 324515 375065 519224 600104 649030 750130 1298060 1500260 2596120 3000520 3075533 6151066 12302132 15377665 24604264 30755330 61510660 118745579 123021320 237491158 474982316 593727895 949964632 1187455790 2374911580 4749823160 4868568739 9737137478 19474274956 24342843695 38948549912 48685687390 97371374780 194742749560