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507101661 = 33111707413
BaseRepresentation
bin11110001110011…
…100000111011101
31022100012102201000
4132032130013131
52014304223121
6122152540513
715365202333
oct3616340735
91270172630
10507101661
11240277a90
121219b1739
13810a0671
144b4c3b53
152e7bc526
hex1e39c1dd

507101661 has 16 divisors (see below), whose sum is σ = 819558720. Its totient is φ = 307334160.

The previous prime is 507101641. The next prime is 507101663. The reversal of 507101661 is 166101705.

It is not a de Polignac number, because 507101661 - 27 = 507101533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507101663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853410 + ... + 854003.

It is an arithmetic number, because the mean of its divisors is an integer number (51222420).

Almost surely, 2507101661 is an apocalyptic number.

It is an amenable number.

507101661 is a deficient number, since it is larger than the sum of its proper divisors (312457059).

507101661 is a wasteful number, since it uses less digits than its factorization.

507101661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707433 (or 1707427 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 507101661 is about 22518.9178470014. The cubic root of 507101661 is about 797.4406023574.

The spelling of 507101661 in words is "five hundred seven million, one hundred one thousand, six hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 297 1707413 5122239 15366717 18781543 46100151 56344629 169033887 507101661