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94245532416 = 28327172631307
BaseRepresentation
bin101011111000101111…
…0001011001100000000
3100000021010121002201200
41113301132023030000
53021003324014131
6111143520501200
76544330544040
oct1276136131400
9300233532650
1094245532416
1136a73167472
121632277a800
138b6c580a39
1447c0ac7720
1526b8e522e6
hex15f178b300

94245532416 has 432 divisors, whose sum is σ = 330322696704. Its totient is φ = 25227657216.

The previous prime is 94245532411. The next prime is 94245532421. The reversal of 94245532416 is 61423554249.

94245532416 is a `hidden beast` number, since 94 + 2 + 4 + 553 + 2 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (94245532411) and next prime (94245532421).

It is not an unprimeable number, because it can be changed into a prime (94245532411) by changing a digit.

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, 72107635 + ... + 72108941.

It is an arithmetic number, because the mean of its divisors is an integer number (764635872).

Almost surely, 294245532416 is an apocalyptic number.

94245532416 is a gapful number since it is divisible by the number (96) 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 94245532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165161348352).

94245532416 is an abundant number, since it is smaller than the sum of its proper divisors (236077164288).

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

94245532416 is a wasteful number, since it uses less digits than its factorization.

94245532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1599 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 94245532416 in words is "ninety-four billion, two hundred forty-five million, five hundred thirty-two thousand, four hundred sixteen".