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145562449032 = 2335711131931127
BaseRepresentation
bin1000011110010000110…
…0101011010010001000
3111220201111102120100000
42013210030223102020
54341102441332112
6150512004243000
713342113254610
oct2074414532210
9456644376300
10145562449032
1156807231460
12242646a0460
131095a0cc560
14708c29da40
153bbe2297dc
hex21e432b488

145562449032 has 1536 divisors, whose sum is σ = 601148620800. Its totient is φ = 31744742400.

The previous prime is 145562449009. The next prime is 145562449061. The reversal of 145562449032 is 230944265541.

145562449032 is a `hidden beast` number, since 1 + 4 + 556 + 2 + 4 + 4 + 90 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1146160953 + ... + 1146161079.

It is an arithmetic number, because the mean of its divisors is an integer number (391372800).

Almost surely, 2145562449032 is an apocalyptic number.

145562449032 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 145562449032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300574310400).

145562449032 is an abundant number, since it is smaller than the sum of its proper divisors (455586171768).

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

145562449032 is a wasteful number, since it uses less digits than its factorization.

145562449032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

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

The spelling of 145562449032 in words is "one hundred forty-five billion, five hundred sixty-two million, four hundred forty-nine thousand, thirty-two".