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6934139520 = 2735711173189
BaseRepresentation
bin1100111010100111…
…01001001010000000
3122220020210210012020
412131103221022000
5103200114431040
63104022401440
7333556133130
oct63523511200
918806723166
106934139520
112a39160720
121416290280
13866786649
1449acd4ac0
152a8b59cd0
hex19d4e9280

6934139520 has 1024 divisors, whose sum is σ = 30457036800. Its totient is φ = 1297612800.

The previous prime is 6934139491. The next prime is 6934139543. The reversal of 6934139520 is 259314396.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77911636 + ... + 77911724.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 26934139520 is an apocalyptic number.

6934139520 is a gapful number since it is divisible by the number (60) 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 6934139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228518400).

6934139520 is an abundant number, since it is smaller than the sum of its proper divisors (23522897280).

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

6934139520 is a wasteful number, since it uses less digits than its factorization.

6934139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 6934139520 is about 83271.4808322753. The cubic root of 6934139520 is about 1906.9129082485.

The spelling of 6934139520 in words is "six billion, nine hundred thirty-four million, one hundred thirty-nine thousand, five hundred twenty".