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10497813960 = 23353125111243
BaseRepresentation
bin10011100011011011…
…11110110111001000
31000002121111012111110
421301231332313020
5132444420021320
64453404330320
7521100642414
oct116155766710
930077435443
1010497813960
1144a7819007
12204b8439a0
13cb3b8854a
14718309d44
154169435e0
hex271b7edc8

10497813960 has 128 divisors (see below), whose sum is σ = 32641781760. Its totient is φ = 2698080000.

The previous prime is 10497813947. The next prime is 10497813961. The reversal of 10497813960 is 6931879401.

It is a happy number.

It is a super-2 number, since 2×104978139602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10497813961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928099 + ... + 939341.

It is an arithmetic number, because the mean of its divisors is an integer number (255013920).

Almost surely, 210497813960 is an apocalyptic number.

10497813960 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 10497813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320890880).

10497813960 is an abundant number, since it is smaller than the sum of its proper divisors (22143967800).

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

10497813960 is a wasteful number, since it uses less digits than its factorization.

10497813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11539 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 10497813960 in words is "ten billion, four hundred ninety-seven million, eight hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 251 310 372 465 502 620 744 753 930 1004 1240 1255 1506 1860 2008 2510 3012 3720 3765 5020 6024 7530 7781 10040 11243 15060 15562 22486 23343 30120 31124 33729 38905 44972 46686 56215 62248 67458 77810 89944 93372 112430 116715 134916 155620 168645 186744 224860 233430 269832 311240 337290 348533 449720 466860 674580 697066 933720 1045599 1349160 1394132 1742665 2091198 2788264 2821993 3485330 4182396 5227995 5643986 6970660 8364792 8465979 10455990 11287972 13941320 14109965 16931958 20911980 22575944 28219930 33863916 41823960 42329895 56439860 67727832 84659790 87481783 112879720 169319580 174963566 262445349 338639160 349927132 437408915 524890698 699854264 874817830 1049781396 1312226745 1749635660 2099562792 2624453490 3499271320 5248906980 10497813960