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70432169472 = 2932719412803
BaseRepresentation
bin100000110011000010…
…1011001111000000000
320201210112112220221100
41001212011121320000
52123221113410342
652204525454400
75042242363650
oct1014605317000
9221715486840
1070432169472
112796313a425
1211797711400
136845b40532
1435a2192360
151c7352ae4c
hex1066159e00

70432169472 has 480 divisors, whose sum is σ = 250591461120. Its totient is φ = 18592727040.

The previous prime is 70432169441. The next prime is 70432169501. The reversal of 70432169472 is 27496123407.

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 47 ways as a sum of consecutive naturals, for example, 25126023 + ... + 25128825.

It is an arithmetic number, because the mean of its divisors is an integer number (522065544).

Almost surely, 270432169472 is an apocalyptic number.

70432169472 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 70432169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125295730560).

70432169472 is an abundant number, since it is smaller than the sum of its proper divisors (180159291648).

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

70432169472 is a wasteful number, since it uses less digits than its factorization.

70432169472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 70432169472 in words is "seventy billion, four hundred thirty-two million, one hundred sixty-nine thousand, four hundred seventy-two".