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1909942333 = 13172232312
BaseRepresentation
bin111000111010111…
…0110100000111101
311221002220010022221
41301311312200331
512402421123313
6513304405341
765221145665
oct16165664075
94832803287
101909942333
118a0126a42
12453776851
132459050c0
141419351a5
15b2a23c8d
hex71d7683d

1909942333 has 54 divisors (see below), whose sum is σ = 2360156442. Its totient is φ = 1535973120.

The previous prime is 1909942327. The next prime is 1909942343. The reversal of 1909942333 is 3332499091.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 427538329 + 1482404004 = 20677^2 + 38502^2 .

It is not a de Polignac number, because 1909942333 - 229 = 1373071421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1909942333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1909942343) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 61611028 + ... + 61611058.

Almost surely, 21909942333 is an apocalyptic number.

1909942333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1909942333 is a deficient number, since it is larger than the sum of its proper divisors (450214109).

1909942333 is a wasteful number, since it uses less digits than its factorization.

1909942333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 43.

The square root of 1909942333 is about 43702.8870098990. The cubic root of 1909942333 is about 1240.7189580640.

The spelling of 1909942333 in words is "one billion, nine hundred nine million, nine hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 13 17 23 31 221 289 299 391 403 527 529 713 961 3757 5083 6647 6851 6877 8959 8993 9269 12121 12493 16337 16399 22103 86411 116467 116909 152881 157573 206057 212381 213187 277729 278783 287339 375751 508369 1987453 2678741 3610477 3624179 4739311 4884763 6387767 6608797 8642273 61611043 83040971 112349549 146918641 1909942333