Search a number
-
+
90603999930609 = 32115367717945949
BaseRepresentation
bin10100100110011101100011…
…001110110010100011110001
3102212210122202112111212012200
4110212131203032302203301
543333423442440234414
6520410523012213413
725040631403260144
oct2446354316624361
9385718675455180
1090603999930609
1126961a38a12830
12a1b37b430a269
133b72bc7543b89
1418533852a005b
15a71c40959109
hex5267633b28f1

90603999930609 has 192 divisors, whose sum is σ = 151612591104000. Its totient is φ = 51660402393600.

The previous prime is 90603999930599. The next prime is 90603999930641.

90603999930609 is a `hidden beast` number, since 9 + 0 + 6 + 0 + 3 + 9 + 9 + 9 + 9 + 3 + 0 + 609 = 666.

90603999930609 is nontrivially palindromic in base 10.

90603999930609 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 90603999930609 - 24 = 90603999930593 is a prime.

It is a super-2 number, since 2×906039999306092 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90603999935609) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1971815367 + ... + 1971861315.

It is an arithmetic number, because the mean of its divisors is an integer number (789648912000).

Almost surely, 290603999930609 is an apocalyptic number.

90603999930609 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90603999930609 is a deficient number, since it is larger than the sum of its proper divisors (61008591173391).

90603999930609 is a wasteful number, since it uses less digits than its factorization.

90603999930609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46236 (or 46233 counting only the distinct ones).

The product of its (nonzero) digits is 172186884, while the sum is 72.

The spelling of 90603999930609 in words is "ninety trillion, six hundred three billion, nine hundred ninety-nine million, nine hundred thirty thousand, six hundred nine".