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66066603405000 = 23354113112916247
BaseRepresentation
bin11110000010110010101000…
…11011010110111011001000
322122220220110011222121100020
433001121110123112323020
532124413400432430000
6352302324551340440
716626104010153132
oct1701312433267310
9278826404877306
1066066603405000
111a0617642a6520
1274b0197981720
132ab30917528b3
1412458d7dba052
15798825d67ba0
hex3c16546d6ec8

66066603405000 has 320 divisors, whose sum is σ = 232418066411520. Its totient is φ = 15499495200000.

The previous prime is 66066603404941. The next prime is 66066603405139. The reversal of 66066603405000 is 50430666066.

It is a happy number.

66066603405000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1343124 + ... + 11573123.

It is an arithmetic number, because the mean of its divisors is an integer number (726306457536).

Almost surely, 266066603405000 is an apocalyptic number.

66066603405000 is a gapful number since it is divisible by the number (60) 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 66066603405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116209033205760).

66066603405000 is an abundant number, since it is smaller than the sum of its proper divisors (166351463006520).

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

66066603405000 is a wasteful number, since it uses less digits than its factorization.

66066603405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916318 (or 12916299 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 66066603405000 in words is "sixty-six trillion, sixty-six billion, six hundred three million, four hundred five thousand".