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70019389440 = 21133571121323
BaseRepresentation
bin100000100110101111…
…0110001100000000000
320200201202211112012000
41001031132301200000
52121344430430230
652055542304000
75026100663430
oct1011536614000
9220652745160
1070019389440
1127771135700
12116a1428000
1367ab475bb0
1435634222c0
151c4c190b60
hex104d7b1800

70019389440 has 2304 divisors, whose sum is σ = 351354931200. Its totient is φ = 12846366720.

The previous prime is 70019389397. The next prime is 70019389469. The reversal of 70019389440 is 4498391007.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 3044321269 + ... + 3044321291.

It is an arithmetic number, because the mean of its divisors is an integer number (152497800).

Almost surely, 270019389440 is an apocalyptic number.

70019389440 is a gapful number since it is divisible by the number (70) 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 70019389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175677465600).

70019389440 is an abundant number, since it is smaller than the sum of its proper divisors (281335541760).

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

70019389440 is a wasteful number, since it uses less digits than its factorization.

70019389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 70019389440 in words is "seventy billion, nineteen million, three hundred eighty-nine thousand, four hundred forty".