Search a number
-
+
188353663680 = 263572132192943
BaseRepresentation
bin1010111101101011000…
…0001101001011000000
3200000011200122111111210
42233122300031023000
511041222014214210
6222310052410120
716415402503500
oct2573260151300
9600150574453
10188353663680
1172975807366
1230607316940
13149b9524300
14918b445a00
154d75cb2e20
hex2bdac0d2c0

188353663680 has 2016 divisors, whose sum is σ = 839353363200. Its totient is φ = 35505340416.

The previous prime is 188353663669. The next prime is 188353663703. The reversal of 188353663680 is 86366353881.

It is a super-2 number, since 2×1883536636802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 188353663680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4380317739 + ... + 4380317781.

Almost surely, 2188353663680 is an apocalyptic number.

188353663680 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 188353663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419676681600).

188353663680 is an abundant number, since it is smaller than the sum of its proper divisors (650999699520).

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

188353663680 is a wasteful number, since it uses less digits than its factorization.

188353663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 188353663680 in words is "one hundred eighty-eight billion, three hundred fifty-three million, six hundred sixty-three thousand, six hundred eighty".