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6970414500 = 2234537231069
BaseRepresentation
bin1100111110111100…
…00001010110100100
3122222210001202010000
412133132001112210
5103233411231000
63111400101300
7334506355110
oct63736012644
918883052100
106970414500
112a57687645
121426464830
1387114782a
144a1a58740
152abe23000
hex19f7815a4

6970414500 has 480 divisors, whose sum is σ = 27145198080. Its totient is φ = 1522540800.

The previous prime is 6970414489. The next prime is 6970414541. The reversal of 6970414500 is 54140796.

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

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 159 ways as a sum of consecutive naturals, for example, 6519966 + ... + 6521034.

It is an arithmetic number, because the mean of its divisors is an integer number (56552496).

Almost surely, 26970414500 is an apocalyptic number.

6970414500 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 6970414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572599040).

6970414500 is an abundant number, since it is smaller than the sum of its proper divisors (20174783580).

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

6970414500 is a wasteful number, since it uses less digits than its factorization.

6970414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6970414500 is about 83489.0082585726. The cubic root of 6970414500 is about 1910.2323758099.

The spelling of 6970414500 in words is "six billion, nine hundred seventy million, four hundred fourteen thousand, five hundred".