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7068119040 = 212325311237
BaseRepresentation
bin1101001010100101…
…01111000000000000
3200020120220122112200
412211102233000000
5103433414302130
63125210153200
7340104010023
oct64522570000
920216818480
107068119040
112aa78504a4
121453122800
13888466578
144b0a0d1ba
152b57c2760
hex1a54af000

7068119040 has 312 divisors, whose sum is σ = 25310583168. Its totient is φ = 1822556160.

The previous prime is 7068119033. The next prime is 7068119041. The reversal of 7068119040 is 409118607.

It is a super-3 number, since 3×70681190403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7068118986 and 7068119004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7068119041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713302 + ... + 5714538.

It is an arithmetic number, because the mean of its divisors is an integer number (81123664).

Almost surely, 27068119040 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 7068119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655291584).

7068119040 is an abundant number, since it is smaller than the sum of its proper divisors (18242464128).

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

7068119040 is a wasteful number, since it uses less digits than its factorization.

7068119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7068119040 is about 84072.1061946232. The cubic root of 7068119040 is about 1919.1162599601.

The spelling of 7068119040 in words is "seven billion, sixty-eight million, one hundred nineteen thousand, forty".