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9831894345 = 335731316333
BaseRepresentation
bin10010010100000011…
…01100110101001001
3221101012102222112000
421022001230311021
5130113431104340
64303335341213
7465433503000
oct111201546511
927335388460
109831894345
114195936819
121aa4821809
13c08c1c480
14693ac3c37
153c8253d30
hex24a06cd49

9831894345 has 128 divisors (see below), whose sum is σ = 21952896000. Its totient is φ = 4148589312.

The previous prime is 9831894329. The next prime is 9831894403. The reversal of 9831894345 is 5434981389.

It is not a de Polignac number, because 9831894345 - 24 = 9831894329 is a prime.

It is a super-2 number, since 2×98318943452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9831894291 and 9831894300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 593799 + ... + 610131.

It is an arithmetic number, because the mean of its divisors is an integer number (171507000).

Almost surely, 29831894345 is an apocalyptic number.

It is an amenable number.

9831894345 is an abundant number, since it is smaller than the sum of its proper divisors (12121001655).

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

9831894345 is a wasteful number, since it uses less digits than its factorization.

9831894345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16381 (or 16361 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 9831894345 is about 99155.9092792759. The cubic root of 9831894345 is about 2142.2939811806.

The spelling of 9831894345 in words is "nine billion, eight hundred thirty-one million, eight hundred ninety-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 91 105 117 135 147 189 195 245 273 315 343 351 441 455 585 637 735 819 945 1029 1323 1365 1715 1755 1911 2205 2457 3087 3185 4095 4459 5145 5733 6615 9261 9555 12285 13377 15435 16333 17199 22295 28665 40131 46305 48999 66885 81665 85995 114331 120393 146997 200655 212329 244995 342993 440991 571655 601965 636987 734985 800317 1028979 1061645 1486303 1714965 1910961 2204955 2400951 3086937 3184935 4001585 4458909 5144895 5602219 5732883 7202853 7431515 9554805 10404121 12004755 13376727 15434685 16806657 21608559 22294545 28011095 28664415 31212363 36014265 40130181 50419971 52020605 66883635 72828847 84033285 93637089 108042795 151259913 156061815 200650905 218486541 252099855 280911267 364144235 468185445 655459623 756299565 1092432705 1404556335 1966378869 3277298115 9831894345