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7042155120 = 24335711133257
BaseRepresentation
bin1101000111011111…
…01100001001110000
3200011210001112202000
412203233230021300
5103410242430440
63122441454000
7336340221330
oct64357541160
920153045660
107042155120
112a94127410
1214464a1300
13882c756c0
144ab3b10c0
152b3394730
hex1a3bec270

7042155120 has 640 divisors, whose sum is σ = 32577914880. Its totient is φ = 1350328320.

The previous prime is 7042155119. The next prime is 7042155137. The reversal of 7042155120 is 215512407.

7042155120 is a `hidden beast` number, since 70 + 4 + 21 + 551 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 2160532 + ... + 2163788.

It is an arithmetic number, because the mean of its divisors is an integer number (50902992).

Almost surely, 27042155120 is an apocalyptic number.

7042155120 is a gapful number since it is divisible by the number (70) 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 7042155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288957440).

7042155120 is an abundant number, since it is smaller than the sum of its proper divisors (25535759760).

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

7042155120 is a wasteful number, since it uses less digits than its factorization.

7042155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 7042155120 is about 83917.5495352432. The cubic root of 7042155120 is about 1916.7634926594.

Adding to 7042155120 its reverse (215512407), we get a palindrome (7257667527).

The spelling of 7042155120 in words is "seven billion, forty-two million, one hundred fifty-five thousand, one hundred twenty".