Search a number
-
+
90909357481649 = 7101111284447737
BaseRepresentation
bin10100101010111001111011…
…111101011001111010110001
3102220212211221102121200100002
4110222321323331121322301
543403424331003403044
6521203103212235345
725101661424524040
oct2452717375317261
9386784842550302
1090909357481649
1126a6a495329463
12a242a13a6bb55
133b9593c2cc515
141864071b78557
15a79b6364a74e
hex52ae7bf59eb1

90909357481649 has 8 divisors (see below), whose sum is σ = 103906684213248. Its totient is φ = 77914599665760.

The previous prime is 90909357481619. The next prime is 90909357481819. The reversal of 90909357481649 is 94618475390909.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90909357481649 - 212 = 90909357477553 is a prime.

It is a super-2 number, since 2×909093574816492 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90909357481619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642153092 + ... + 642294645.

It is an arithmetic number, because the mean of its divisors is an integer number (12988335526656).

Almost surely, 290909357481649 is an apocalyptic number.

It is an amenable number.

90909357481649 is a deficient number, since it is larger than the sum of its proper divisors (12997326731599).

90909357481649 is a wasteful number, since it uses less digits than its factorization.

90909357481649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284457855.

The product of its (nonzero) digits is 529079040, while the sum is 74.

The spelling of 90909357481649 in words is "ninety trillion, nine hundred nine billion, three hundred fifty-seven million, four hundred eighty-one thousand, six hundred forty-nine".

Divisors: 1 7 10111 70777 1284447737 8991134159 12987051068807 90909357481649