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10488696432 = 243311709991
BaseRepresentation
bin10011100010010110…
…01100111001110000
31000001222022222121020
421301023030321300
5132440101241212
64452441055440
7520630306614
oct116113147160
930058288536
1010488696432
1144a2660965
122048787580
13cb2015566
14717015344
15415c41d8c
hex2712cce70

10488696432 has 80 divisors (see below), whose sum is σ = 27248732160. Its totient is φ = 3476563200.

The previous prime is 10488696403. The next prime is 10488696443. The reversal of 10488696432 is 23469688401.

It is a super-2 number, since 2×104886964322 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 10583457 + ... + 10584447.

It is an arithmetic number, because the mean of its divisors is an integer number (340609152).

Almost surely, 210488696432 is an apocalyptic number.

10488696432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10488696432 is an abundant number, since it is smaller than the sum of its proper divisors (16760035728).

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

10488696432 is a wasteful number, since it uses less digits than its factorization.

10488696432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 10488696432 in words is "ten billion, four hundred eighty-eight million, six hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 709 933 991 1244 1418 1866 1982 2127 2488 2836 2973 3732 3964 4254 4976 5672 5946 7464 7928 8508 11344 11892 14928 15856 17016 23784 34032 47568 220499 308201 440998 616402 661497 702619 881996 924603 1232804 1322994 1405238 1763992 1849206 2107857 2465608 2645988 2810476 3527984 3698412 4215714 4931216 5291976 5620952 7396824 8431428 10583952 11241904 14793648 16862856 33725712 218514509 437029018 655543527 874058036 1311087054 1748116072 2622174108 3496232144 5244348216 10488696432