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243009215064 = 2332721161102653
BaseRepresentation
bin1110001001010001111…
…0100101101001011000
3212020020201201012000200
43202110132211221120
512440140324340224
6303345322502200
723361665150400
oct3422436455130
9766221635020
10243009215064
1194072404040
123b11b364960
1319bb9961465
14ba941b3800
1564c42205c9
hex38947a5a58

243009215064 has 288 divisors, whose sum is σ = 848903412240. Its totient is φ = 62083929600.

The previous prime is 243009215039. The next prime is 243009215069. The reversal of 243009215064 is 460512900342.

It is a happy number.

243009215064 is a `hidden beast` number, since 2 + 430 + 0 + 9 + 215 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243009215069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2315962 + ... + 2418614.

Almost surely, 2243009215064 is an apocalyptic number.

243009215064 is a gapful number since it is divisible by the number (24) 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 243009215064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424451706120).

243009215064 is an abundant number, since it is smaller than the sum of its proper divisors (605894197176).

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

243009215064 is a wasteful number, since it uses less digits than its factorization.

243009215064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102751 (or 102737 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 243009215064 in words is "two hundred forty-three billion, nine million, two hundred fifteen thousand, sixty-four".