Search a number
-
+
6923102274 = 2321179894973
BaseRepresentation
bin1100111001010011…
…00010100001000010
3122212111001000221100
412130221202201002
5103134303233044
63102550035230
7333363253434
oct63451424102
918774030840
106923102274
112a32a02230
121412648b16
138643c092a
14499660654
152a7bc9869
hex19ca62842

6923102274 has 96 divisors (see below), whose sum is σ = 16760390400. Its totient is φ = 2047668480.

The previous prime is 6923102239. The next prime is 6923102309. The reversal of 6923102274 is 4722013296.

It is an interprime number because it is at equal distance from previous prime (6923102239) and next prime (6923102309).

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 1389652 + ... + 1394624.

It is an arithmetic number, because the mean of its divisors is an integer number (174587400).

Almost surely, 26923102274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6923102274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380195200).

6923102274 is an abundant number, since it is smaller than the sum of its proper divisors (9837288126).

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

6923102274 is a wasteful number, since it uses less digits than its factorization.

6923102274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6923102274 is about 83205.1817737333. The cubic root of 6923102274 is about 1905.9006103879.

The spelling of 6923102274 in words is "six billion, nine hundred twenty-three million, one hundred two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 89 99 158 178 198 237 267 474 534 711 801 869 979 1422 1602 1738 1958 2607 2937 4973 5214 5874 7031 7821 8811 9946 14062 14919 15642 17622 21093 29838 42186 44757 54703 63279 77341 89514 109406 126558 154682 164109 232023 328218 392867 442597 464046 492327 696069 785734 885194 984654 1178601 1327791 1392138 2357202 2655582 3535803 3983373 4321537 4868567 7071606 7966746 8643074 9737134 12964611 14605701 25929222 29211402 34965163 38893833 43817103 69930326 77787666 87634206 104895489 209790978 314686467 384616793 629372934 769233586 1153850379 2307700758 3461551137 6923102274