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83013812660427 = 31115752147307261
BaseRepresentation
bin10010111000000000101000…
…110100001010100011001011
3101212221001011100002011001220
4102320000220310022203023
541340044242020113202
6452320004041213123
723325356444055435
oct2270005064124313
9355831140064056
1083013812660427
11244a5a62099060
129388771a911a3
13374222722a46c
14166dc66119655
1598e5a6b07abc
hex4b8028d0a8cb

83013812660427 has 32 divisors (see below), whose sum is σ = 121519181117184. Its totient is φ = 49989825475200.

The previous prime is 83013812660413. The next prime is 83013812660503. The reversal of 83013812660427 is 72406621831038.

It is a happy number.

It is not a de Polignac number, because 83013812660427 - 219 = 83013812136139 is a prime.

It is a super-2 number, since 2×830138126604272 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83013812660427.

It is not an unprimeable number, because it can be changed into a prime (83013812660227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270019977 + ... + 270327237.

It is an arithmetic number, because the mean of its divisors is an integer number (3797474409912).

Almost surely, 283013812660427 is an apocalyptic number.

83013812660427 is a deficient number, since it is larger than the sum of its proper divisors (38505368456757).

83013812660427 is a wasteful number, since it uses less digits than its factorization.

83013812660427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359579.

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 83013812660427 in words is "eighty-three trillion, thirteen billion, eight hundred twelve million, six hundred sixty thousand, four hundred twenty-seven".

Divisors: 1 3 11 33 157 471 1727 5181 52147 156441 307261 573617 921783 1720851 3379871 8187079 10139613 24561237 48239977 90057869 144719931 270173607 530639747 1591919241 16022739367 48068218101 176250133037 528750399111 2515570080619 7546710241857 27671270886809 83013812660427