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9270465602112 = 2633111323498269
BaseRepresentation
bin1000011011100111001011…
…0011110010001001000000
31012211020200200112222202000
42012321302303302021000
52203341403143231422
631414443151024000
71644524531312421
oct206716263621100
935736620488660
109270465602112
112a54645174130
12105881820b000
1352327cc26900
1424099b57d648
1511122d082cac
hex86e72cf2240

9270465602112 has 672 divisors, whose sum is σ = 32290115760000. Its totient is φ = 2585394339840.

The previous prime is 9270465602089. The next prime is 9270465602149. The reversal of 9270465602112 is 2112065640729.

9270465602112 is a `hidden beast` number, since 9 + 2 + 70 + 4 + 6 + 560 + 2 + 1 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1121106714 + ... + 1121114982.

It is an arithmetic number, because the mean of its divisors is an integer number (48050767500).

Almost surely, 29270465602112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9270465602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145057880000).

9270465602112 is an abundant number, since it is smaller than the sum of its proper divisors (23019650157888).

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

9270465602112 is a wasteful number, since it uses less digits than its factorization.

9270465602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9270465602112 in words is "nine trillion, two hundred seventy billion, four hundred sixty-five million, six hundred two thousand, one hundred twelve".