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243266495940 = 223351329972127
BaseRepresentation
bin1110001010001111010…
…0000010010111000100
3212020220122211102001000
43202203310002113010
512441202210332230
6303431033133300
723401241045406
oct3424364022704
9766818742030
10243266495940
119419465aa66
123b19155a230
1319c2b052b70
14baba426b76
1564dbae1b60
hex38a3d025c4

243266495940 has 576 divisors, whose sum is σ = 858641817600. Its totient is φ = 56769527808.

The previous prime is 243266495903. The next prime is 243266495959. The reversal of 243266495940 is 49594662342.

243266495940 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 6 + 6 + 49 + 594 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1915484157 + ... + 1915484283.

It is an arithmetic number, because the mean of its divisors is an integer number (1490697600).

Almost surely, 2243266495940 is an apocalyptic number.

243266495940 is a gapful number since it is divisible by the number (20) 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 243266495940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429320908800).

243266495940 is an abundant number, since it is smaller than the sum of its proper divisors (615375321660).

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

243266495940 is a wasteful number, since it uses less digits than its factorization.

243266495940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 243266495940 in words is "two hundred forty-three billion, two hundred sixty-six million, four hundred ninety-five thousand, nine hundred forty".