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66590608149 = 32131782740483
BaseRepresentation
bin111110000001000111…
…000000101100010101
320100212210222101111100
4332001013000230111
52042334143430044
650331415500313
74545114554502
oct760107005425
9210783871440
1066590608149
112627173155a
1210aa5087699
136382cb3a20
143319cc24a9
151aeb150869
hexf811c0b15

66590608149 has 48 divisors (see below), whose sum is σ = 109813983552. Its totient is φ = 38520728064.

The previous prime is 66590608129. The next prime is 66590608181. The reversal of 66590608149 is 94180609566.

It is a happy number.

66590608149 is a `hidden beast` number, since 6 + 6 + 590 + 6 + 0 + 8 + 1 + 49 = 666.

It is not a de Polignac number, because 66590608149 - 221 = 66588510997 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66590608095 and 66590608104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66590608129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624662 + ... + 1665144.

It is an arithmetic number, because the mean of its divisors is an integer number (2287791324).

Almost surely, 266590608149 is an apocalyptic number.

It is an amenable number.

66590608149 is a deficient number, since it is larger than the sum of its proper divisors (43223375403).

66590608149 is a wasteful number, since it uses less digits than its factorization.

66590608149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41346 (or 41343 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 66590608149 in words is "sixty-six billion, five hundred ninety million, six hundred eight thousand, one hundred forty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 827 1989 2481 7443 10751 14059 32253 40483 42177 96759 121449 126531 182767 364347 526279 548301 688211 1578837 1644903 2064633 4736511 6193899 8946743 26840229 33479441 80520687 100438323 301314969 435232733 569150497 1305698199 1707451491 3917094597 5122354473 7398956461 22196869383 66590608149