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146533331431032 = 233713241912979497
BaseRepresentation
bin100001010100010101110011…
…001010101110111001111000
3201012211110010210221221100120
4201110111303022232321320
5123201300230321243112
61235352252205333240
742602453361126450
oct4124256312567170
9635743123857316
10146533331431032
1142765489527607
1214527184267220
13639c05951bb00
142828372d86d60
1511e1a053e1e8c
hex8545732aee78

146533331431032 has 384 divisors, whose sum is σ = 454829343091200. Its totient is φ = 38520137170944.

The previous prime is 146533331430881. The next prime is 146533331431033. The reversal of 146533331431032 is 230134133335641.

146533331431032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146533331431033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15429428908 + ... + 15429438404.

It is an arithmetic number, because the mean of its divisors is an integer number (1184451414300).

Almost surely, 2146533331431032 is an apocalyptic number.

146533331431032 is a gapful number since it is divisible by the number (12) 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 146533331431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227414671545600).

146533331431032 is an abundant number, since it is smaller than the sum of its proper divisors (308296011660168).

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

146533331431032 is a wasteful number, since it uses less digits than its factorization.

146533331431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11255 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

Adding to 146533331431032 its reverse (230134133335641), we get a palindrome (376667464766673).

The spelling of 146533331431032 in words is "one hundred forty-six trillion, five hundred thirty-three billion, three hundred thirty-one million, four hundred thirty-one thousand, thirty-two".