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7120506451968 = 2113371321719337
BaseRepresentation
bin110011110011101111101…
…0000011111100000000000
3221012201021100010000101000
41213213133100133200000
51413130244122430333
623051040541012000
71333303534131030
oct147473720374000
927181240100330
107120506451968
1122a5876296308
12970003254000
133c85cb716700
141a88c49338c0
15c5349d94713
hex679df41f800

7120506451968 has 2304 divisors, whose sum is σ = 29179253376000. Its totient is φ = 1669475598336.

The previous prime is 7120506451921. The next prime is 7120506451969. The reversal of 7120506451968 is 8691546050217.

It is a happy number.

7120506451968 is a `hidden beast` number, since 7 + 1 + 2 + 0 + 5 + 0 + 64 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×71205064519682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7120506451969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21129099096 + ... + 21129099432.

It is an arithmetic number, because the mean of its divisors is an integer number (12664606500).

Almost surely, 27120506451968 is an apocalyptic number.

7120506451968 is a gapful number since it is divisible by the number (78) 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 7120506451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589626688000).

7120506451968 is an abundant number, since it is smaller than the sum of its proper divisors (22058746924032).

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

7120506451968 is a wasteful number, since it uses less digits than its factorization.

7120506451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 7120506451968 in words is "seven trillion, one hundred twenty billion, five hundred six million, four hundred fifty-one thousand, nine hundred sixty-eight".