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7012354172928 = 211313414874397
BaseRepresentation
bin110011000001011000011…
…1000010010100000000000
3220211101010000111222122120
41212002300320102200000
51404342300132013203
622525233034204240
71322424450001116
oct146026070224000
926741100458576
107012354172928
112263a17134315
1295305b283680
133bb353c77820
141a3584cc9ab6
15c261a0ceb53
hex660b0e12800

7012354172928 has 384 divisors, whose sum is σ = 20671227682560. Its totient is φ = 2100221706240.

The previous prime is 7012354172899. The next prime is 7012354172933. The reversal of 7012354172928 is 8292714532107.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×70123541729282 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594802026 + ... + 1594806422.

It is an arithmetic number, because the mean of its divisors is an integer number (53831322090).

Almost surely, 27012354172928 is an apocalyptic number.

7012354172928 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 7012354172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335613841280).

7012354172928 is an abundant number, since it is smaller than the sum of its proper divisors (13658873509632).

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

7012354172928 is a wasteful number, since it uses less digits than its factorization.

7012354172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 7012354172928 in words is "seven trillion, twelve billion, three hundred fifty-four million, one hundred seventy-two thousand, nine hundred twenty-eight".