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70078250880 = 27325111318443
BaseRepresentation
bin100000101000011111…
…1010011111110000000
320200212212120222220100
41001100333103332000
52122010013012010
652105444042400
75030414206221
oct1012077237600
9220785528810
1070078250880
11277a1389120
12116b9093400
1367ba714851
14356b185248
151c5241b2c0
hex1050fd3f80

70078250880 has 384 divisors, whose sum is σ = 266034637440. Its totient is φ = 16856985600.

The previous prime is 70078250863. The next prime is 70078250899. The reversal of 70078250880 is 8805287007.

It is a happy number.

70078250880 is a `hidden beast` number, since 70 + 0 + 78 + 2 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×700782508802 (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8295939 + ... + 8304381.

It is an arithmetic number, because the mean of its divisors is an integer number (692798535).

Almost surely, 270078250880 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 70078250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133017318720).

70078250880 is an abundant number, since it is smaller than the sum of its proper divisors (195956386560).

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

70078250880 is a wasteful number, since it uses less digits than its factorization.

70078250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8595 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 70078250880 in words is "seventy billion, seventy-eight million, two hundred fifty thousand, eight hundred eighty".