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7134521856 = 293711179337
BaseRepresentation
bin1101010010100000…
…00010101000000000
3200102012212021002020
412221100002220000
5104102414144411
63135541321440
7341541302160
oct65120025000
920365767066
107134521856
113031284960
121471406280
13899145987
144b97765a0
152bb53c606
hex1a9402a00

7134521856 has 320 divisors, whose sum is σ = 23899898880. Its totient is φ = 1837301760.

The previous prime is 7134521851. The next prime is 7134521893. The reversal of 7134521856 is 6581254317.

It is a happy number.

It is a super-2 number, since 2×71345218562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7134521851) 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, 21170520 + ... + 21170856.

It is an arithmetic number, because the mean of its divisors is an integer number (74687184).

Almost surely, 27134521856 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 7134521856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949949440).

7134521856 is an abundant number, since it is smaller than the sum of its proper divisors (16765377024).

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

7134521856 is a wasteful number, since it uses less digits than its factorization.

7134521856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 7134521856 is about 84466.0988562867. The cubic root of 7134521856 is about 1925.1073740973.

The spelling of 7134521856 in words is "seven billion, one hundred thirty-four million, five hundred twenty-one thousand, eight hundred fifty-six".