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187468969496192 = 272328719317539
BaseRepresentation
bin101010101000000010000101…
…010101010100111010000000
3220120202212011210222022200122
4222220002011111110322000
5144032442422142334232
61502414020004435412
754326120553425366
oct5250020525247200
9816685153868618
10187468969496192
1154808163a7a28a
12190388aa6a8b68
13807b32ba2bb97
1434417919a9636
1516a1771207312
hexaa8085554e80

187468969496192 has 96 divisors (see below), whose sum is σ = 390463315032000. Its totient is φ = 89648506861056.

The previous prime is 187468969496147. The next prime is 187468969496231. The reversal of 187468969496192 is 291694969864781.

It is a super-2 number, since 2×1874689694961922 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 187468969496098 and 187468969496107.

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 11 ways as a sum of consecutive naturals, for example, 590222159 + ... + 590539697.

It is an arithmetic number, because the mean of its divisors is an integer number (4067326198250).

Almost surely, 2187468969496192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187468969496192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195231657516000).

187468969496192 is an abundant number, since it is smaller than the sum of its proper divisors (202994345535808).

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

187468969496192 is an equidigital number, since it uses as much as digits as its factorization.

187468969496192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326318 (or 326283 counting only the distinct ones).

The product of its digits is 20316635136, while the sum is 89.

The spelling of 187468969496192 in words is "one hundred eighty-seven trillion, four hundred sixty-eight billion, nine hundred sixty-nine million, four hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 529 736 1058 1472 2116 2944 4232 8464 8719 16928 17438 33856 34876 67712 69752 139504 200537 279008 317539 401074 558016 635078 802148 1116032 1270156 1604296 2540312 3208592 4612351 5080624 6417184 7303397 9224702 10161248 12834368 14606794 18449404 20322496 25668736 29213588 36898808 40644992 58427176 73797616 116854352 147595232 167978131 233708704 295190464 335956262 467417408 590380928 671912524 934834816 1343825048 2687650096 2768622541 5375300192 5537245082 10750600384 11074490164 21501200768 22148980328 44297960656 63678318443 88595921312 127356636886 177191842624 254713273772 354383685248 509426547544 1018853095088 1464601324189 2037706190176 2929202648378 4075412380352 5858405296756 8150824760704 11716810593512 23433621187024 46867242374048 93734484748096 187468969496192