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70830489600 = 215325213739
BaseRepresentation
bin100000111110111010…
…0111000000000000000
320202211022001200102200
41001331310320000000
52130030101131400
652312235113200
75055150141063
oct1017564700000
9222738050380
1070830489600
1128047a68212
1211888ba2800
1368aa514310
1435dd03a8da
151c984abb00
hex107dd38000

70830489600 has 576 divisors, whose sum is σ = 273613867800. Its totient is φ = 17411604480.

The previous prime is 70830489581. The next prime is 70830489617. The reversal of 70830489600 is 698403807.

It is a happy number.

70830489600 is a `hidden beast` number, since 7 + 0 + 8 + 30 + 4 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 95846031 + ... + 95846769.

Almost surely, 270830489600 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 70830489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136806933900).

70830489600 is an abundant number, since it is smaller than the sum of its proper divisors (202783378200).

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

70830489600 is a wasteful number, since it uses less digits than its factorization.

70830489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 70830489600 in words is "seventy billion, eight hundred thirty million, four hundred eighty-nine thousand, six hundred".