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6116006600 = 2352114759149
BaseRepresentation
bin1011011001000101…
…01101101011001000
3120210020100022210222
411230202231223020
5100011144202400
62450515125212
7304363125014
oct55442555310
916706308728
106116006600
112659365310
1212282a3808
13766125122
144203a9544
1525be00185
hex16c8adac8

6116006600 has 96 divisors (see below), whose sum is σ = 15842736000. Its totient is φ = 2176646400.

The previous prime is 6116006509. The next prime is 6116006609. The reversal of 6116006600 is 66006116.

It is a self number, because there is not a number n which added to its sum of digits gives 6116006600.

It is not an unprimeable number, because it can be changed into a prime (6116006609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73826 + ... + 132974.

It is an arithmetic number, because the mean of its divisors is an integer number (165028500).

Almost surely, 26116006600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6116006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368000).

6116006600 is an abundant number, since it is smaller than the sum of its proper divisors (9726729400).

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

6116006600 is a wasteful number, since it uses less digits than its factorization.

6116006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59223 (or 59214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6116006600 is about 78204.9013809237. The cubic root of 6116006600 is about 1828.7569170444.

The spelling of 6116006600 in words is "six billion, one hundred sixteen million, six thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 59149 103400 118298 236596 295745 473192 591490 650639 1182980 1301278 1478725 2365960 2602556 2780003 2957450 3253195 5205112 5560006 5914900 6506390 11120012 11829800 13012780 13900015 16265975 22240024 26025560 27800030 30580033 32531950 55600060 61160066 65063900 69500075 111200120 122320132 130127800 139000150 152900165 244640264 278000300 305800330 556000600 611600660 764500825 1223201320 1529001650 3058003300 6116006600