Search a number
-
+
109616632398 = 23471319391351
BaseRepresentation
bin110011000010110101…
…0010001001001001110
3101110221101000212220000
41212011222101021032
53243443324214043
6122205052505130
710630255000440
oct1460552211116
9343841025800
10109616632398
1142540805389
12192b247b1a6
13a44bc5cc80
14543c30c490
152cb861c2d3
hex1985a9124e

109616632398 has 160 divisors (see below), whose sum is σ = 318216138240. Its totient is φ = 27388238400.

The previous prime is 109616632343. The next prime is 109616632399. The reversal of 109616632398 is 893236616901.

109616632398 is a `hidden beast` number, since 1 + 0 + 96 + 166 + 3 + 2 + 398 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109616632399) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84423 + ... + 475773.

It is an arithmetic number, because the mean of its divisors is an integer number (1988850864).

Almost surely, 2109616632398 is an apocalyptic number.

109616632398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109616632398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159108069120).

109616632398 is an abundant number, since it is smaller than the sum of its proper divisors (208599505842).

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

109616632398 is a wasteful number, since it uses less digits than its factorization.

109616632398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391404 (or 391395 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 109616632398 in words is "one hundred nine billion, six hundred sixteen million, six hundred thirty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 81 91 114 117 126 133 162 171 182 189 234 247 266 273 342 351 378 399 494 513 546 567 702 741 798 819 1026 1053 1134 1197 1482 1539 1638 1729 2106 2223 2394 2457 3078 3458 3591 4446 4914 5187 6669 7182 7371 10374 10773 13338 14742 15561 20007 21546 31122 40014 46683 93366 140049 280098 391351 782702 1174053 2348106 2739457 3522159 5087563 5478914 7044318 7435669 8218371 10175126 10566477 14871338 15262689 16436742 21132954 22307007 24655113 30525378 31699431 35612941 44614014 45788067 49310226 52049683 63398862 66921021 71225882 73965339 91576134 96663697 104099366 106838823 133842042 137364201 147930678 156149049 193327394 200763063 213677646 221896017 274728402 289991091 312298098 320516469 401526126 412092603 443792034 468447147 579982182 602289189 641032938 676645879 824185206 869973273 936894294 961549407 1204578378 1353291758 1405341441 1739946546 1923098814 2029937637 2609919819 2810682882 2884648221 4059875274 4216024323 5219839638 5769296442 6089812911 7829759457 8432048646 12179625822 15659518914 18269438733 36538877466 54808316199 109616632398