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6930123408 = 24321331119419
BaseRepresentation
bin1100111010001000…
…10100101010010000
3122212222020202010100
412131010110222100
5103143102422113
63103400332400
7333510035265
oct63504245220
918788222110
106930123408
112a3696831a
121414a74100
138659ab650
1449a56b26c
152a8614d73
hex19d114a90

6930123408 has 120 divisors (see below), whose sum is σ = 21560564480. Its totient is φ = 2063543040.

The previous prime is 6930123401. The next prime is 6930123413. The reversal of 6930123408 is 8043210396.

6930123408 is a `hidden beast` number, since 6 + 9 + 301 + 2 + 340 + 8 = 666.

It is a super-2 number, since 2×69301234082 = 96053220900219068928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6930123401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1678 + ... + 117741.

Almost surely, 26930123408 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 6930123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780282240).

6930123408 is an abundant number, since it is smaller than the sum of its proper divisors (14630441072).

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

6930123408 is a wasteful number, since it uses less digits than its factorization.

6930123408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119477 (or 119468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6930123408 is about 83247.3627690391. The cubic root of 6930123408 is about 1906.5446888132.

The spelling of 6930123408 in words is "six billion, nine hundred thirty million, one hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 119419 238838 358257 477676 716514 955352 1074771 1433028 1552447 1910704 2149542 2866056 3104894 3701989 4299084 4657341 5732112 6209788 7403978 8598168 9314682 11105967 12419576 13972023 14807956 17196336 18629364 22211934 24839152 27944046 29615912 33317901 37258728 44423868 48125857 55888092 59231824 66635802 74517456 88847736 96251714 111776184 133271604 144377571 177695472 192503428 223552368 266543208 288755142 385006856 433132713 533086416 577510284 770013712 866265426 1155020568 1732530852 2310041136 3465061704 6930123408