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10472865216 = 2631113137853
BaseRepresentation
bin10011100000011101…
…10011110111000000
31000000212112200020220
421300032303313000
5132422023141331
64451113503040
7520345612512
oct116016636700
930025480226
1010472865216
114494728710
122043411a80
13cab961788
14714c93bb2
15414666296
hex2703b3dc0

10472865216 has 112 divisors (see below), whose sum is σ = 30460053888. Its totient is φ = 3149286400.

The previous prime is 10472865197. The next prime is 10472865259. The reversal of 10472865216 is 61256827401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257746 + ... + 295598.

Almost surely, 210472865216 is an apocalyptic number.

10472865216 is a gapful number since it is divisible by the number (16) 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 10472865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230026944).

10472865216 is an abundant number, since it is smaller than the sum of its proper divisors (19987188672).

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

10472865216 is a wasteful number, since it uses less digits than its factorization.

10472865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38010 (or 38000 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10472865216 in words is "ten billion, four hundred seventy-two million, eight hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 131 132 176 192 262 264 352 393 524 528 704 786 1048 1056 1441 1572 2096 2112 2882 3144 4192 4323 5764 6288 8384 8646 11528 12576 17292 23056 25152 34584 37853 46112 69168 75706 92224 113559 138336 151412 227118 276672 302824 416383 454236 605648 832766 908472 1211296 1249149 1665532 1816944 2422592 2498298 3331064 3633888 4958743 4996596 6662128 7267776 9917486 9993192 13324256 14876229 19834972 19986384 26648512 29752458 39669944 39972768 54546173 59504916 79339888 79945536 109092346 119009832 158679776 163638519 218184692 238019664 317359552 327277038 436369384 476039328 654554076 872738768 952078656 1309108152 1745477536 2618216304 3490955072 5236432608 10472865216