Search a number
-
+
6993378444 = 22313431278209
BaseRepresentation
bin1101000001101011…
…00111110010001100
3200001101021102201110
412200311213302030
5103310301102234
63113540212020
7335205510303
oct64065476214
920041242643
106993378444
112a69641808
12143209a010
13875b28070
144a4b1543a
152ade5c1e9
hex1a0d67c8c

6993378444 has 96 divisors (see below), whose sum is σ = 18125578240. Its totient is φ = 2084963328.

The previous prime is 6993378419. The next prime is 6993378481. The reversal of 6993378444 is 4448733996.

It is a super-2 number, since 2×69933784442 = 97814684122007722272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847812 + ... + 856020.

Almost surely, 26993378444 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 6993378444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062789120).

6993378444 is an abundant number, since it is smaller than the sum of its proper divisors (11132199796).

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

6993378444 is a wasteful number, since it uses less digits than its factorization.

6993378444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399 (or 8397 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The square root of 6993378444 is about 83626.4219251308. The cubic root of 6993378444 is about 1912.3278219639.

The spelling of 6993378444 in words is "six billion, nine hundred ninety-three million, three hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 127 129 156 172 254 258 381 508 516 559 762 1118 1524 1651 1677 2236 3302 3354 4953 5461 6604 6708 8209 9906 10922 16383 16418 19812 21844 24627 32766 32836 49254 65532 70993 98508 106717 141986 212979 213434 283972 320151 352987 425958 426868 640302 705974 851916 1042543 1058961 1280604 1411948 2085086 2117922 3127629 4170172 4235844 4588831 6255258 9177662 12510516 13553059 13766493 18355324 27106118 27532986 40659177 44829349 54212236 55065972 81318354 89658698 134488047 162636708 179317396 268976094 537952188 582781537 1165563074 1748344611 2331126148 3496689222 6993378444