Search a number
-
+
187971382896 = 243112912276083
BaseRepresentation
bin1010111100001111110…
…1111010111001110000
3122222012001022121212020
42233003331322321300
511034431133223041
6222204115031440
716403051251323
oct2570375727160
9588161277766
10187971382896
1172799a44130
123051b29b580
1314958277c6b
1491527747ba
154d5244e866
hex2bc3f7ae70

187971382896 has 80 divisors (see below), whose sum is σ = 548004389760. Its totient is φ = 54996847360.

The previous prime is 187971382889. The next prime is 187971382897. The reversal of 187971382896 is 698283179781.

It is a self number, because there is not a number n which added to its sum of digits gives 187971382896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187971382897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6122730 + ... + 6153353.

It is an arithmetic number, because the mean of its divisors is an integer number (6850054872).

Almost surely, 2187971382896 is an apocalyptic number.

187971382896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

187971382896 is an abundant number, since it is smaller than the sum of its proper divisors (360033006864).

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

187971382896 is a wasteful number, since it uses less digits than its factorization.

187971382896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276134 (or 12276128 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 69.

The spelling of 187971382896 in words is "one hundred eighty-seven billion, nine hundred seventy-one million, three hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 15312 12276083 24552166 36828249 49104332 73656498 98208664 135036913 147312996 196417328 270073826 294625992 356006407 405110739 540147652 589251984 712012814 810221478 1068019221 1080295304 1424025628 1620442956 2136038442 2160590608 2848051256 3240885912 3916070477 4272076884 5696102512 6481771824 7832140954 8544153768 11748211431 15664281908 17088307536 23496422862 31328563816 46992845724 62657127632 93985691448 187971382896