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164117459 = 11192371117
BaseRepresentation
bin10011100100000…
…11101111010011
3102102211000211102
421302003233103
5314003224314
624141335015
74031655362
oct1162035723
9372730742
10164117459
1184704970
1246b6746b
132800292c
1417b217d9
15e61c5de
hex9c83bd3

164117459 has 24 divisors (see below), whose sum is σ = 194236848. Its totient is φ = 137401920.

The previous prime is 164117453. The next prime is 164117479. The reversal of 164117459 is 954711461.

It is a happy number.

It is not a de Polignac number, because 164117459 - 224 = 147340243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164117453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146369 + ... + 147485.

It is an arithmetic number, because the mean of its divisors is an integer number (8093202).

Almost surely, 2164117459 is an apocalyptic number.

164117459 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

164117459 is a deficient number, since it is larger than the sum of its proper divisors (30119389).

164117459 is a wasteful number, since it uses less digits than its factorization.

164117459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1184 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 164117459 is about 12810.8336574947. The cubic root of 164117459 is about 547.5010142945.

The spelling of 164117459 in words is "one hundred sixty-four million, one hundred seventeen thousand, four hundred fifty-nine".

Divisors: 1 11 19 37 209 361 407 703 1117 3971 7733 12287 13357 21223 41329 146927 233453 403237 454619 785251 4435607 8637761 14919769 164117459