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169833884113089 = 327273285012
BaseRepresentation
bin100110100111011010001000…
…010101010101100011000001
3211021022221221101120220110100
4212213122020111111203001
5134230024243313104324
61401112335334153013
750526043654103100
oct4647321025254301
9737287841526410
10169833884113089
114a129167026849
121706ab401b2769
13739c360800531
142dd200a7ca037
151497b8094d4c9
hex9a76885558c1

169833884113089 has 81 divisors (see below), whose sum is σ = 289363866147369. Its totient is φ = 95707250352000.

The previous prime is 169833884112877. The next prime is 169833884113093. The reversal of 169833884113089 is 980311488338961.

The square root of 169833884113089 is 13032033.

It is a perfect power (a square), and thus also a powerful number.

169833884113089 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 338 + 84 + 1 + 130 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28882186866225 + 140951697246864 = 5374215^2 + 11872308^2 .

It is not a de Polignac number, because 169833884113089 - 29 = 169833884112577 is a prime.

It is a super-2 number, since 2×1698338841130892 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (169833884113889) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19978102339 + ... + 19978110839.

Almost surely, 2169833884113089 is an apocalyptic number.

169833884113089 is the 13032033-rd square number.

169833884113089 is the 6516017-th centered octagonal number.

It is an amenable number.

169833884113089 is a deficient number, since it is larger than the sum of its proper divisors (119529982034280).

169833884113089 is an frugal number, since it uses more digits than its factorization.

169833884113089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 169833884113089 in words is "one hundred sixty-nine trillion, eight hundred thirty-three billion, eight hundred eighty-four million, one hundred thirteen thousand, eighty-nine".

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 5329 8501 10731 15987 25503 32193 37303 47961 59507 76509 111909 178521 261121 335727 416549 535563 620573 783363 1249647 1861719 2350089 3748941 4344011 5585157 13032033 30408077 39096099 45301829 72267001 91224231 135905487 216801003 273672693 317112803 407716461 505869007 650403009 951338409 1517607021 2219789621 2854015227 3541083049 4552821063 5275491073 6659368863 10623249147 15826473219 19978106589 31869747441 36928437511 47479419657 110785312533 258499062577 332355937599 385110848329 775497187731 1155332544987 2326491563193 2695775938303 3465997634961 8087327814909 18870431568121 24261983444727 56611294704363 169833884113089