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145510255872 = 28341723131137
BaseRepresentation
bin1000011110000100010…
…1100100110100000000
3111220120212012212210000
42013201011210310000
54341001111141442
6150502501440000
713340610524142
oct2074105446400
9456525185700
10145510255872
115678a822a13
122424b110000
131094c356b27
147085394c92
153bb9869d4c
hex21e1164d00

145510255872 has 720 divisors, whose sum is σ = 486567430272. Its totient is φ = 43015864320.

The previous prime is 145510255853. The next prime is 145510255883. The reversal of 145510255872 is 278552015541.

It is a happy number.

145510255872 is a `hidden beast` number, since 1 + 4 + 5 + 510 + 2 + 55 + 87 + 2 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1062118588 + ... + 1062118724.

Almost surely, 2145510255872 is an apocalyptic number.

145510255872 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 145510255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243283715136).

145510255872 is an abundant number, since it is smaller than the sum of its proper divisors (341057174400).

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

145510255872 is a wasteful number, since it uses less digits than its factorization.

145510255872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 145510255872 in words is "one hundred forty-five billion, five hundred ten million, two hundred fifty-five thousand, eight hundred seventy-two".