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1358344254960 = 243457112722351
BaseRepresentation
bin10011110001000011101…
…000000111010111110000
311210212010100100200210000
4103301003220013113300
5134223342112124320
62520003103310000
7200065015443150
oct23610350072760
94725110320700
101358344254960
11484085a13520
1219b30a8ab300
139b125801524
1449a5c196760
1525501116c90
hex13c43a075f0

1358344254960 has 400 divisors, whose sum is σ = 5881848394752. Its totient is φ = 282253248000.

The previous prime is 1358344254959. The next prime is 1358344254973. The reversal of 1358344254960 is 694524438531.

It is a happy number.

1358344254960 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 34 + 4 + 2 + 549 + 60 = 666.

It is a super-2 number, since 2×13583442549602 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1358344254897 and 1358344254906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 862216 + ... + 1860135.

Almost surely, 21358344254960 is an apocalyptic number.

1358344254960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358344254960 is an abundant number, since it is smaller than the sum of its proper divisors (4523504139792).

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

1358344254960 is a wasteful number, since it uses less digits than its factorization.

1358344254960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722394 (or 2722379 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 1358344254960 in words is "one trillion, three hundred fifty-eight billion, three hundred forty-four million, two hundred fifty-four thousand, nine hundred sixty".