Search a number
-
+
164981214372 = 2231317601103511
BaseRepresentation
bin1001100110100110100…
…1011000110010100100
3120202211211021001112010
42121221221120302210
510200340142324442
6203442531554220
714630250120042
oct2315151306244
9522754231463
10164981214372
1163a7165a257
1227b83a5b970
131273324ba50
147db12c5392
154458e32b9c
hex2669a58ca4

164981214372 has 96 divisors (see below), whose sum is σ = 439689164544. Its totient is φ = 47697408000.

The previous prime is 164981214347. The next prime is 164981214379. The reversal of 164981214372 is 273412189461.

It is not an unprimeable number, because it can be changed into a prime (164981214379) 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 31 ways as a sum of consecutive naturals, for example, 1542097 + ... + 1645607.

It is an arithmetic number, because the mean of its divisors is an integer number (4580095464).

Almost surely, 2164981214372 is an apocalyptic number.

164981214372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164981214372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219844582272).

164981214372 is an abundant number, since it is smaller than the sum of its proper divisors (274707950172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164981214372 is a wasteful number, since it uses less digits than its factorization.

164981214372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104149 (or 104147 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 164981214372 in words is "one hundred sixty-four billion, nine hundred eighty-one million, two hundred fourteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 601 663 884 1202 1326 1803 2404 2652 3606 7212 7813 10217 15626 20434 23439 30651 31252 40868 46878 61302 93756 103511 122604 132821 207022 265642 310533 398463 414044 531284 621066 796926 1242132 1345643 1593852 1759687 2691286 3519374 4036929 5279061 5382572 7038748 8073858 10558122 16147716 21116244 22875931 45751862 62210111 68627793 91503724 124420222 137255586 186630333 248840444 274511172 373260666 746521332 808731443 1057571887 1617462886 2115143774 2426194329 3172715661 3234925772 4230287548 4852388658 6345431322 9704777316 12690862644 13748434531 27496869062 41245303593 54993738124 82490607186 164981214372