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188780020020 = 223251761692817
BaseRepresentation
bin1010111111010000101…
…0101000000100110100
3200001021101220122110100
42233310022220010310
511043110141120040
6222420242554100
716432100460054
oct2576412500464
9601241818410
10188780020020
1173074444179
1230706068930
1314a56963277
1491cbd0b564
154d9d430b30
hex2bf42a8134

188780020020 has 72 divisors (see below), whose sum is σ = 606317015304. Its totient is φ = 47380082688.

The previous prime is 188780019947. The next prime is 188780020021. The reversal of 188780020020 is 20020087881.

It can be written as a sum of positive squares in 4 ways, for example, as 88562188836 + 100217831184 = 297594^2 + 316572^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188780020021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30843349 + ... + 30849468.

It is an arithmetic number, because the mean of its divisors is an integer number (8421069657).

Almost surely, 2188780020020 is an apocalyptic number.

188780020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188780020020 is an abundant number, since it is smaller than the sum of its proper divisors (417536995284).

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

188780020020 is a wasteful number, since it uses less digits than its factorization.

188780020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61692849 (or 61692844 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 188780020020 in words is "one hundred eighty-eight billion, seven hundred eighty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 61692817 123385634 185078451 246771268 308464085 370156902 555235353 616928170 740313804 925392255 1048777889 1110470706 1233856340 1850784510 2097555778 2220941412 2776176765 3146333667 3701569020 4195111556 5243889445 5552353530 6292667334 9439001001 10487778890 11104707060 12585334668 15731668335 18878002002 20975557780 31463336670 37756004004 47195005005 62926673340 94390010010 188780020020