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8290681874101 = 114760257266129
BaseRepresentation
bin111100010100101001100…
…1001011110011010110101
31002100120200212121120220101
41320221103021132122311
52041313304024432401
625344404153234101
71513660553116024
oct170512311363265
932316625546811
108290681874101
112707070864640
12b1a958702931
13481a670995b3
142093b20388bb
15e59d6558101
hex78a5325e6b5

8290681874101 has 16 divisors (see below), whose sum is σ = 9237001847040. Its totient is φ = 7376472033280.

The previous prime is 8290681874081. The next prime is 8290681874131. The reversal of 8290681874101 is 1014781860928.

It is a cyclic number.

It is not a de Polignac number, because 8290681874101 - 213 = 8290681865909 is a prime.

It is a super-2 number, since 2×82906818741012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290681874131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31019805 + ... + 31285933.

It is an arithmetic number, because the mean of its divisors is an integer number (577312615440).

Almost surely, 28290681874101 is an apocalyptic number.

It is an amenable number.

8290681874101 is a deficient number, since it is larger than the sum of its proper divisors (946319972939).

8290681874101 is a wasteful number, since it uses less digits than its factorization.

8290681874101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326444.

The product of its (nonzero) digits is 1548288, while the sum is 55.

The spelling of 8290681874101 in words is "eight trillion, two hundred ninety billion, six hundred eighty-one million, eight hundred seventy-four thousand, one hundred one".

Divisors: 1 11 47 517 60257 266129 662827 2832079 2927419 12508063 31152869 137588693 16036135153 176397486683 753698352191 8290681874101