Search a number
-
+
9861417696 = 2531321931991
BaseRepresentation
bin10010010111100100…
…10100101011100000
3221110020222220221110
421023302110223200
5130144010331241
64310312223320
7466242444624
oct111362245340
927406886843
109861417696
114200571089
121ab269ab40
13c12088500
146979ab184
153cab36816
hex24bc94ae0

9861417696 has 144 divisors (see below), whose sum is σ = 29506861440. Its totient is φ = 2874493440.

The previous prime is 9861417667. The next prime is 9861417721. The reversal of 9861417696 is 6967141689.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292261 + ... + 324251.

It is an arithmetic number, because the mean of its divisors is an integer number (204908760).

Almost surely, 29861417696 is an apocalyptic number.

9861417696 is a gapful number since it is divisible by the number (96) 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 9861417696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753430720).

9861417696 is an abundant number, since it is smaller than the sum of its proper divisors (19645443744).

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

9861417696 is a wasteful number, since it uses less digits than its factorization.

9861417696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32049 (or 32028 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 9861417696 is about 99304.6710683843. The cubic root of 9861417696 is about 2144.4361419656.

The spelling of 9861417696 in words is "nine billion, eight hundred sixty-one million, four hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 169 208 228 247 304 312 338 416 456 494 507 608 624 676 741 912 988 1014 1248 1352 1482 1824 1976 2028 2704 2964 3211 3952 4056 5408 5928 6422 7904 8112 9633 11856 12844 16224 19266 23712 25688 31991 38532 51376 63982 77064 95973 102752 127964 154128 191946 255928 308256 383892 415883 511856 607829 767784 831766 1023712 1215658 1247649 1535568 1663532 1823487 2431316 2495298 3071136 3327064 3646974 4862632 4990596 5406479 6654128 7293948 7901777 9725264 9981192 10812958 13308256 14587896 15803554 16219437 19450528 19962384 21625916 23705331 29175792 31607108 32438874 39924768 43251832 47410662 58351584 63214216 64877748 86503664 94821324 102723101 126428432 129755496 173007328 189642648 205446202 252856864 259510992 308169303 379285296 410892404 519021984 616338606 758570592 821784808 1232677212 1643569616 2465354424 3287139232 4930708848 9861417696