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187915734231696 = 243211423532
BaseRepresentation
bin101010101110100010001010…
…100101100010101010010000
3220122100120100121122101202100
4222232202022211202222100
5144112302410430403241
61503355144015320400
754403315034136222
oct5256421245425220
9818316317571670
10187915734231696
115496a685025619
12190ab3b3220100
1380b14baa72143
143459254934412
1516ad1bd42d9b6
hexaae88a962a90

187915734231696 has 45 divisors (see below), whose sum is σ = 525903522142089. Its totient is φ = 62638523244288.

The previous prime is 187915734231691. The next prime is 187915734231737. The reversal of 187915734231696 is 696132437519781.

The square root of 187915734231696 is 13708236.

It is a perfect power (a square), and thus also a powerful number.

187915734231696 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 1 + 573 + 42 + 3 + 1 + 6 + 9 + 6 = 666.

187915734231696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47826353235600 + 140089380996096 = 6915660^2 + 11835936^2 .

It is a super-2 number, since 2×1879157342316962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (187915734231691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163927656 + ... + 165070008.

Almost surely, 2187915734231696 is an apocalyptic number.

187915734231696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

187915734231696 is the 13708236-th square number.

It is an amenable number.

187915734231696 is an abundant number, since it is smaller than the sum of its proper divisors (337987787910393).

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

187915734231696 is an frugal number, since it uses more digits than its factorization.

187915734231696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284720 (or 1142358 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 187915734231696 in words is "one hundred eighty-seven trillion, nine hundred fifteen billion, seven hundred thirty-four million, two hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1142353 2284706 3427059 4569412 6854118 9138824 10281177 13708236 18277648 20562354 27416472 41124708 54832944 82249416 164498832 1304970376609 2609940753218 3914911129827 5219881506436 7829822259654 10439763012872 11744733389481 15659644519308 20879526025744 23489466778962 31319289038616 46978933557924 62638578077232 93957867115848 187915734231696