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7136853480 = 23325311095867
BaseRepresentation
bin1101010010110001…
…11011110111101000
3200102101020201110200
412221120323313220
5104104013302410
63140103312200
7341600153001
oct65130736750
920371221420
107136853480
113032627719
12147214b660
13899781033
144b9bc21a8
152bb84d3c0
hex1a963bde8

7136853480 has 192 divisors, whose sum is σ = 24166771200. Its totient is φ = 1824560640.

The previous prime is 7136853461. The next prime is 7136853481. The reversal of 7136853480 is 843586317.

7136853480 is a `hidden beast` number, since 7 + 1 + 36 + 8 + 534 + 80 = 666.

It is a super-2 number, since 2×71368534802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7136853481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1213507 + ... + 1219373.

It is an arithmetic number, because the mean of its divisors is an integer number (125868600).

Almost surely, 27136853480 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 7136853480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083385600).

7136853480 is an abundant number, since it is smaller than the sum of its proper divisors (17029917720).

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

7136853480 is a wasteful number, since it uses less digits than its factorization.

7136853480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7136853480 is about 84479.8998578952. The cubic root of 7136853480 is about 1925.3170652189.

The spelling of 7136853480 in words is "seven billion, one hundred thirty-six million, eight hundred fifty-three thousand, four hundred eighty".