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165293291444 = 22532335695881
BaseRepresentation
bin1001100111110000111…
…1110111011110110100
3120210122120111012210012
42121330033313132310
510202010040311234
6203533520515352
714641056536531
oct2317417673664
9523576435705
10165293291444
1164111832396
122805047bb58
1312782ab7938
14800091dd88
15447652a0ce
hex267c3f77b4

165293291444 has 48 divisors (see below), whose sum is σ = 296556558480. Its totient is φ = 80583659520.

The previous prime is 165293291441. The next prime is 165293291489. The reversal of 165293291444 is 444192392561.

It can be written as a sum of positive squares in 8 ways, for example, as 345216400 + 164948075044 = 18580^2 + 406138^2 .

It is a super-2 number, since 2×1652932914442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165293291392 and 165293291401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165293291441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28103384 + ... + 28109264.

It is an arithmetic number, because the mean of its divisors is an integer number (6178261635).

Almost surely, 2165293291444 is an apocalyptic number.

It is an amenable number.

165293291444 is a deficient number, since it is larger than the sum of its proper divisors (131263267036).

165293291444 is a wasteful number, since it uses less digits than its factorization.

165293291444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6738 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The spelling of 165293291444 in words is "one hundred sixty-five billion, two hundred ninety-three million, two hundred ninety-one thousand, four hundred forty-four".

Divisors: 1 2 4 53 106 212 233 466 569 932 1138 2276 5881 11762 12349 23524 24698 30157 49396 60314 120628 132577 265154 311693 530308 623386 1246772 1370273 2740546 3346289 5481092 6692578 7026581 13385156 14053162 28106324 72624469 145248938 177353317 290497876 354706634 709413268 779685337 1559370674 3118741348 41323322861 82646645722 165293291444