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243666078193560 = 2335111931222934409
BaseRepresentation
bin110111011001110011101110…
…000010001101011110011000
31011221202020201221110102122110
4313121303232002031132120
5223414211112004143220
62222122352340352320
7102216202366020201
oct6731635602153630
91157666657412573
10243666078193560
1170704226862510
12233b41506a56a0
13a5c67c6ab6a49
1444257030945a8
151d284a9501be0
hexdd9cee08d798

243666078193560 has 768 divisors, whose sum is σ = 867950572608000. Its totient is φ = 54120478924800.

The previous prime is 243666078193553. The next prime is 243666078193589. The reversal of 243666078193560 is 65391870666342.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 243666078193491 and 243666078193500.

It is a congruent number.

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, 55265608636 + ... + 55265613044.

It is an arithmetic number, because the mean of its divisors is an integer number (1130143974750).

It is a 1-persistent number, because it is pandigital, but 2⋅243666078193560 = 487332156387120 is not.

Almost surely, 2243666078193560 is an apocalyptic number.

243666078193560 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 243666078193560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433975286304000).

243666078193560 is an abundant number, since it is smaller than the sum of its proper divisors (624284494414440).

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

243666078193560 is a wasteful number, since it uses less digits than its factorization.

243666078193560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 243666078193560 in words is "two hundred forty-three trillion, six hundred sixty-six billion, seventy-eight million, one hundred ninety-three thousand, five hundred sixty".