Search a number
-
+
106849325410600 = 23523140142976963
BaseRepresentation
bin11000010010110111001100…
…000101011110100100101000
3112000022200210012110022002211
4120102313030011132210220
5103001104404301114400
61015125522532534504
731335415614422323
oct3022671405364450
9460280705408084
10106849325410600
11310555a9702373
12bb98146a81434
134780b0450baa6
141c5576bc557ba
15c545e208adba
hex612dcc15e928

106849325410600 has 96 divisors (see below), whose sum is σ = 257077884176640. Its totient is φ = 41257883520000.

The previous prime is 106849325410517. The next prime is 106849325410621. The reversal of 106849325410600 is 6014523948601.

It is a super-2 number, since 2×1068493254106002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19002282 + ... + 23974681.

It is an arithmetic number, because the mean of its divisors is an integer number (2677894626840).

Almost surely, 2106849325410600 is an apocalyptic number.

106849325410600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106849325410600 is an abundant number, since it is smaller than the sum of its proper divisors (150228558766040).

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

106849325410600 is a wasteful number, since it uses less digits than its factorization.

106849325410600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42977411 (or 42977402 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 106849325410600 in words is "one hundred six trillion, eight hundred forty-nine billion, three hundred twenty-five million, four hundred ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 401 620 775 802 1240 1550 1604 2005 3100 3208 4010 6200 8020 10025 12431 16040 20050 24862 40100 49724 62155 80200 99448 124310 248620 310775 497240 621550 1243100 2486200 42976963 85953926 171907852 214884815 343815704 429769630 859539260 1074424075 1332285853 1719078520 2148848150 2664571706 4297696300 5329143412 6661429265 8595392600 10658286824 13322858530 17233762163 26645717060 33307146325 34467524326 53291434120 66614292650 68935048652 86168810815 133228585300 137870097304 172337621630 266457170600 344675243260 430844054075 534246627053 689350486520 861688108150 1068493254106 1723376216300 2136986508212 2671233135265 3446752432600 4273973016424 5342466270530 10684932541060 13356165676325 21369865082120 26712331352650 53424662705300 106849325410600