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82416176404465 = 545454136263473
BaseRepresentation
bin10010101111010100000010…
…111010110001011111110001
3101210210220120001000201211011
4102233110002322301133301
541300301312124420330
6451141245130150521
723234241452521441
oct2257240272613761
9353726501021734
1082416176404465
112429555aaa4432
1292b0982882441
1336caa73203287
14164cd6db78121
1597dc7954d82a
hex4af502eb17f1

82416176404465 has 8 divisors (see below), whose sum is σ = 98899631993448. Its totient is φ = 65932794251520.

The previous prime is 82416176404403. The next prime is 82416176404489. The reversal of 82416176404465 is 56440467161428.

It can be written as a sum of positive squares in 4 ways, for example, as 16159571890609 + 66256604513856 = 4019897^2 + 8139816^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82416176404465 - 225 = 82416142850033 is a prime.

It is a super-2 number, since 2×824161764044652 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15859032 + ... + 20404441.

It is an arithmetic number, because the mean of its divisors is an integer number (12362453999181).

Almost surely, 282416176404465 is an apocalyptic number.

It is an amenable number.

82416176404465 is a deficient number, since it is larger than the sum of its proper divisors (16483455588983).

82416176404465 is a wasteful number, since it uses less digits than its factorization.

82416176404465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36718019.

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 82416176404465 in words is "eighty-two trillion, four hundred sixteen billion, one hundred seventy-six million, four hundred four thousand, four hundred sixty-five".

Divisors: 1 5 454541 2272705 36263473 181317365 16483235280893 82416176404465