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70419186432 = 283472916729
BaseRepresentation
bin100000110010101001…
…1111000001100000000
320201202122010022120000
41001211103320030000
52123204302431212
652203343320000
75042024131350
oct1014523701400
9221678108500
1070419186432
1127956882041
12117932b0000
136843245c6a
1435a0572b60
151c723141dc
hex10654f8300

70419186432 has 360 divisors, whose sum is σ = 248263831200. Its totient is φ = 19424821248.

The previous prime is 70419186421. The next prime is 70419186437. The reversal of 70419186432 is 23468191407.

It is not an unprimeable number, because it can be changed into a prime (70419186437) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4201044 + ... + 4217772.

Almost surely, 270419186432 is an apocalyptic number.

70419186432 is a gapful number since it is divisible by the number (72) 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 70419186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124131915600).

70419186432 is an abundant number, since it is smaller than the sum of its proper divisors (177844644768).

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

70419186432 is a wasteful number, since it uses less digits than its factorization.

70419186432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16793 (or 16770 counting only the distinct ones).

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

The spelling of 70419186432 in words is "seventy billion, four hundred nineteen million, one hundred eighty-six thousand, four hundred thirty-two".