Search a number
-
+
188969413680 = 24325262457519
BaseRepresentation
bin1010111111111101110…
…1000110110000110000
3200001202121021211201100
42233333131012300300
511044002132214210
6222451130204400
716436560341135
oct2577735066060
9601677254640
10188969413680
1173161342463
1230759583700
1314a86c75a18
14920912c58c
154daed925c0
hex2bff746c30

188969413680 has 60 divisors (see below), whose sum is σ = 634622283360. Its totient is φ = 50391843456.

The previous prime is 188969413673. The next prime is 188969413729. The reversal of 188969413680 is 86314969881.

188969413680 is a `hidden beast` number, since 1 + 8 + 89 + 69 + 413 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1889694136802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131228040 + ... + 131229479.

It is an arithmetic number, because the mean of its divisors is an integer number (10577038056).

Almost surely, 2188969413680 is an apocalyptic number.

188969413680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188969413680 is an abundant number, since it is smaller than the sum of its proper divisors (445652869680).

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

188969413680 is a wasteful number, since it uses less digits than its factorization.

188969413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262457538 (or 262457529 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 188969413680 in words is "one hundred eighty-eight billion, nine hundred sixty-nine million, four hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 262457519 524915038 787372557 1049830076 1312287595 1574745114 2099660152 2362117671 2624575190 3149490228 3936862785 4199320304 4724235342 5249150380 6298980456 7873725570 9448470684 10498300760 11810588355 12597960912 15747451140 18896941368 20996601520 23621176710 31494902280 37793882736 47242353420 62989804560 94484706840 188969413680