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1868955816 = 2337131137573
BaseRepresentation
bin110111101100110…
…0000000010101000
311211020202210101210
41233121200002220
512311423041231
6505242113120
764212601530
oct15731400250
94736683353
101868955816
11879a82192
12441aab7a0
1323a284520
1413a3064c0
15ae129a46
hex6f6600a8

1868955816 has 128 divisors (see below), whose sum is σ = 5802289920. Its totient is φ = 488484864.

The previous prime is 1868955793. The next prime is 1868955833. The reversal of 1868955816 is 6185598681.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243006 + ... + 250578.

It is an arithmetic number, because the mean of its divisors is an integer number (45330390).

Almost surely, 21868955816 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 1868955816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901144960).

1868955816 is an abundant number, since it is smaller than the sum of its proper divisors (3933334104).

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

1868955816 is a wasteful number, since it uses less digits than its factorization.

1868955816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7711 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 57.

The square root of 1868955816 is about 43231.4216282555. The cubic root of 1868955816 is about 1231.7796117979.

The spelling of 1868955816 in words is "one billion, eight hundred sixty-eight million, nine hundred fifty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 113 156 168 182 226 273 312 339 364 452 546 678 728 791 904 1092 1356 1469 1582 2184 2373 2712 2938 3164 4407 4746 5876 6328 7573 8814 9492 10283 11752 15146 17628 18984 20566 22719 30292 30849 35256 41132 45438 53011 60584 61698 82264 90876 98449 106022 123396 159033 181752 196898 212044 246792 295347 318066 393796 424088 590694 636132 689143 787592 855749 1181388 1272264 1378286 1711498 2067429 2362776 2567247 2756572 3422996 4134858 5134494 5513144 5990243 6845992 8269716 10268988 11124737 11980486 16539432 17970729 20537976 22249474 23960972 33374211 35941458 44498948 47921944 66748422 71882916 77873159 88997896 133496844 143765832 155746318 233619477 266993688 311492636 467238954 622985272 934477908 1868955816