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82345681041176 = 2371470458590021
BaseRepresentation
bin10010101110010010011001…
…000100010011011100011000
3101210120011121002120020021002
4102232102121010103130120
541243122423321304201
6451045030022004132
723226164512026110
oct2256223104233430
9353504532506232
1082345681041176
1124268675222613
12929b189b76648
1336c421a268167
1416497a3456040
1597c0006dd76b
hex4ae499113718

82345681041176 has 16 divisors (see below), whose sum is σ = 176455030802640. Its totient is φ = 35291006160480.

The previous prime is 82345681041137. The next prime is 82345681041191. The reversal of 82345681041176 is 67114018654328.

It is a super-2 number, since 2×823456810411762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56), and also a Moran number because the ratio is a prime number: 1470458590021 = 82345681041176 / (8 + 2 + 3 + 4 + 5 + 6 + 8 + 1 + 0 + 4 + 1 + 1 + 7 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 735229294955 + ... + 735229295066.

It is an arithmetic number, because the mean of its divisors is an integer number (11028439425165).

Almost surely, 282345681041176 is an apocalyptic number.

It is an amenable number.

82345681041176 is an abundant number, since it is smaller than the sum of its proper divisors (94109349761464).

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

82345681041176 is a wasteful number, since it uses less digits than its factorization.

82345681041176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470458590034 (or 1470458590030 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 82345681041176 in words is "eighty-two trillion, three hundred forty-five billion, six hundred eighty-one million, forty-one thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 1470458590021 2940917180042 5881834360084 10293210130147 11763668720168 20586420260294 41172840520588 82345681041176