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190532339424 = 25347175571109
BaseRepresentation
bin1011000101110010011…
…1001100011011100000
3200012210112012200210000
42301130213030123200
511110202234330144
6223310201140000
716523366110020
oct2613447143340
9605715180700
10190532339424
11738935a1729
1230b14a8a600
1314c759ca85b
149316931a80
154e521bb769
hex2c5c9cc6e0

190532339424 has 480 divisors, whose sum is σ = 679900858560. Its totient is φ = 51097485312.

The previous prime is 190532339377. The next prime is 190532339429. The reversal of 190532339424 is 424933235091.

190532339424 is a `hidden beast` number, since 1 + 9 + 0 + 532 + 3 + 3 + 94 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 190532339424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190532339429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171804982 + ... + 171806090.

It is an arithmetic number, because the mean of its divisors is an integer number (1416460122).

Almost surely, 2190532339424 is an apocalyptic number.

190532339424 is a gapful number since it is divisible by the number (14) 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 190532339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339950429280).

190532339424 is an abundant number, since it is smaller than the sum of its proper divisors (489368519136).

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

190532339424 is a wasteful number, since it uses less digits than its factorization.

190532339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 190532339424 in words is "one hundred ninety billion, five hundred thirty-two million, three hundred thirty-nine thousand, four hundred twenty-four".