Search a number
-
+
10306482024860 = 2257711776158379
BaseRepresentation
bin1001010111111010101000…
…1100110011000110011100
31100111021211110020021001022
42111332222030303012130
52322330133344243420
633530422114303312
72112422142515420
oct225765214630634
940437743207038
1010306482024860
113313a5546055a
1211a556bb87b38
13599b87b833a8
14278b9d0b6b80
1512d166701c25
hex95faa33319c

10306482024860 has 96 divisors (see below), whose sum is σ = 25085786987520. Its totient is φ = 3483625420800.

The previous prime is 10306482024827. The next prime is 10306482024877. The reversal of 10306482024860 is 6842028460301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176515151 + ... + 176573529.

It is an arithmetic number, because the mean of its divisors is an integer number (261310281120).

Almost surely, 210306482024860 is an apocalyptic number.

10306482024860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306482024860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542893493760).

10306482024860 is an abundant number, since it is smaller than the sum of its proper divisors (14779304962660).

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

10306482024860 is a wasteful number, since it uses less digits than its factorization.

10306482024860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76227 (or 76225 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 10306482024860 in words is "ten trillion, three hundred six billion, four hundred eighty-two million, twenty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 17761 35522 58379 71044 88805 116758 124327 177610 233516 248654 291895 355220 408653 497308 583790 621635 817306 1167580 1243270 1261031 1634612 2043265 2486540 2522062 4086530 4144909 5044124 6305155 8173060 8289818 8827217 12610310 16579636 17654434 20724545 25220620 29014363 35308868 41449090 44136085 58028726 82898180 88272170 116057452 145071815 176544340 290143630 580287260 1036869419 2073738838 4147477676 5184347095 7258085933 10368694190 14516171866 20737388380 29032343732 36290429665 72580859330 73617728749 145161718660 147235457498 294470914996 368088643745 515324101243 736177287490 1030648202486 1472354574980 2061296404972 2576620506215 5153241012430 10306482024860