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83122169088 = 283715461713
BaseRepresentation
bin100110101101001110…
…1111010010100000000
321221112221000200211010
41031122131322110000
52330213233402323
6102104044320520
76001562531250
oct1153235722400
9257487020733
1083122169088
113228532aa12
1214139543140
137ab8c2264a
1440476a3960
152267645c93
hex135a77a500

83122169088 has 72 divisors (see below), whose sum is σ = 252829947328. Its totient is φ = 23749189632.

The previous prime is 83122169047. The next prime is 83122169101. The reversal of 83122169088 is 88096122138.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7725481 + ... + 7736232.

Almost surely, 283122169088 is an apocalyptic number.

It is an amenable number.

83122169088 is an abundant number, since it is smaller than the sum of its proper divisors (169707778240).

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

83122169088 is a wasteful number, since it uses less digits than its factorization.

83122169088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15461739 (or 15461725 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 83122169088 in words is "eighty-three billion, one hundred twenty-two million, one hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 15461713 30923426 46385139 61846852 92770278 108231991 123693704 185540556 216463982 247387408 324695973 371081112 432927964 494774816 649391946 742162224 865855928 989549632 1298783892 1484324448 1731711856 1979099264 2597567784 2968648896 3463423712 3958198528 5195135568 5937297792 6926847424 10390271136 11874595584 13853694848 20780542272 27707389696 41561084544 83122169088