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7034112423936 = 2113313107109839
BaseRepresentation
bin110011001011100000111…
…0001011011100000000000
3220220110021101111122212000
41212113001301123200000
51410221330240031221
622543232053104000
71324124602041213
oct146270161334000
926813241448760
107034112423936
1122721720a2344
12957312028000
133c04109b5870
141a464a8db77a
15c2e903a8e26
hex665c1c5b800

7034112423936 has 768 divisors, whose sum is σ = 22884301440000. Its totient is φ = 2121911894016.

The previous prime is 7034112423913. The next prime is 7034112423953. The reversal of 7034112423936 is 6393242114307.

7034112423936 is a `hidden beast` number, since 7 + 0 + 3 + 4 + 11 + 242 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 7034112423891 and 7034112423900.

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 63 ways as a sum of consecutive naturals, for example, 8383923805 + ... + 8383924643.

It is an arithmetic number, because the mean of its divisors is an integer number (29797267500).

Almost surely, 27034112423936 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 7034112423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442150720000).

7034112423936 is an abundant number, since it is smaller than the sum of its proper divisors (15850189016064).

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

7034112423936 is a wasteful number, since it uses less digits than its factorization.

7034112423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 7034112423936 in words is "seven trillion, thirty-four billion, one hundred twelve million, four hundred twenty-three thousand, nine hundred thirty-six".