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164781743742 = 23371139630049
BaseRepresentation
bin1001100101110111000…
…0011101111001111110
3120202022220220220021000
42121131300131321332
510144433111244432
6203411044351130
714622305466030
oct2313560357176
9522286826230
10164781743742
1163979aa8aa0
1227b290a54a6
1312700b1b6a5
147d929ddc50
15444668057c
hex265dc1de7e

164781743742 has 64 divisors (see below), whose sum is σ = 456538176000. Its totient is φ = 42800451840.

The previous prime is 164781743701. The next prime is 164781743771. The reversal of 164781743742 is 247347187461.

It is a happy number.

164781743742 is a `hidden beast` number, since 164 + 7 + 8 + 1 + 7 + 437 + 42 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19810867 + ... + 19819182.

It is an arithmetic number, because the mean of its divisors is an integer number (7133409000).

Almost surely, 2164781743742 is an apocalyptic number.

164781743742 is an abundant number, since it is smaller than the sum of its proper divisors (291756432258).

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

164781743742 is a wasteful number, since it uses less digits than its factorization.

164781743742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39630078 (or 39630072 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 164781743742 in words is "one hundred sixty-four billion, seven hundred eighty-one million, seven hundred forty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 39630049 79260098 118890147 237780294 277410343 356670441 435930539 554820686 713340882 832231029 871861078 1070011323 1307791617 1664462058 2140022646 2496693087 2615583234 3051513773 3923374851 4993386174 6103027546 7490079261 7846749702 9154541319 11770124553 14980158522 18309082638 23540249106 27463623957 54927247914 82390871871 164781743742