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675095541120 = 2733571113311259
BaseRepresentation
bin10011101001011101101…
…01000111010110000000
32101112112120100210201000
421310232311013112000
542030043424303440
61234045024212000
766526332263460
oct11645665072600
92345476323630
10675095541120
11240340919080
12aaa0816a000
134b879975840
142496390bba0
15128629a8730
hex9d2ed47580

675095541120 has 2048 divisors, whose sum is σ = 3316432896000. Its totient is φ = 125212262400.

The previous prime is 675095541103. The next prime is 675095541137. The reversal of 675095541120 is 21145590576.

It is a happy number.

675095541120 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 95 + 541 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (675095541103) and next prime (675095541137).

It is a super-2 number, since 2×6750955411202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 536215051 + ... + 536216309.

It is an arithmetic number, because the mean of its divisors is an integer number (1619352000).

Almost surely, 2675095541120 is an apocalyptic number.

675095541120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675095541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658216448000).

675095541120 is an abundant number, since it is smaller than the sum of its proper divisors (2641337354880).

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

675095541120 is a wasteful number, since it uses less digits than its factorization.

675095541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 675095541120 in words is "six hundred seventy-five billion, ninety-five million, five hundred forty-one thousand, one hundred twenty".