Search a number
-
+
165335472270 = 237533722433
BaseRepresentation
bin1001100111111011000…
…0110001100010001110
3120210202111212020000000
42121332300301202032
510202101340103040
6203542024545130
714642111216643
oct2317660614216
9523674766000
10165335472270
1164133622481
12280626221a6
131278b765cc7
14800637ddca
15447a0ad130
hex267ec3188e

165335472270 has 128 divisors (see below), whose sum is σ = 447682135680. Its totient is φ = 43956670464.

The previous prime is 165335472229. The next prime is 165335472287. The reversal of 165335472270 is 72274533561.

165335472270 is a `hidden beast` number, since 1 + 6 + 5 + 33 + 547 + 2 + 2 + 70 = 666.

165335472270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7358974 + ... + 7381406.

It is an arithmetic number, because the mean of its divisors is an integer number (3497516685).

Almost surely, 2165335472270 is an apocalyptic number.

165335472270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165335472270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223841067840).

165335472270 is an abundant number, since it is smaller than the sum of its proper divisors (282346663410).

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

165335472270 is an equidigital number, since it uses as much as digits as its factorization.

165335472270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22798 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 165335472270 in words is "one hundred sixty-five billion, three hundred thirty-five million, four hundred seventy-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 337 405 486 674 729 810 1011 1215 1458 1685 2022 2187 2430 3033 3370 3645 4374 5055 6066 7290 9099 10110 10935 15165 18198 21870 22433 27297 30330 44866 45495 54594 67299 81891 90990 112165 134598 136485 163782 201897 224330 245673 272970 336495 403794 409455 491346 605691 672990 737019 818910 1009485 1211382 1228365 1474038 1817073 2018970 2456730 3028455 3634146 3685095 5451219 6056910 7370190 7559921 9085365 10902438 15119842 16353657 18170730 22679763 27256095 32707314 37799605 45359526 49060971 54512190 68039289 75599210 81768285 98121942 113398815 136078578 163536570 204117867 226797630 245304855 340196445 408235734 490609710 612353601 680392890 1020589335 1224707202 1837060803 2041178670 3061768005 3674121606 5511182409 6123536010 9185304015 11022364818 16533547227 18370608030 27555912045 33067094454 55111824090 82667736135 165335472270