Search a number
-
+
10641350640 = 2435121736433
BaseRepresentation
bin10011110100100011…
…00001111111110000
31000110121120121210210
421322101201333300
5133243141210030
64515533024120
7524462662614
oct117221417760
930417517723
1010641350640
114570846268
12208b925040
1310078335ab
1472d3d1344
15424347bb0
hex27a461ff0

10641350640 has 80 divisors (see below), whose sum is σ = 33016199328. Its totient is φ = 2835283968.

The previous prime is 10641350579. The next prime is 10641350669. The reversal of 10641350640 is 4605314601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106413506402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10641350598 and 10641350607.

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, 273864 + ... + 310296.

Almost surely, 210641350640 is an apocalyptic number.

10641350640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10641350640 is an abundant number, since it is smaller than the sum of its proper divisors (22374848688).

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

10641350640 is a wasteful number, since it uses less digits than its factorization.

10641350640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37666 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10641350640 in words is "ten billion, six hundred forty-one million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1217 2434 3651 4868 6085 7302 9736 12170 14604 18255 19472 24340 29208 36433 36510 48680 58416 72866 73020 97360 109299 145732 146040 182165 218598 291464 292080 364330 437196 546495 582928 728660 874392 1092990 1457320 1748784 2185980 2914640 4371960 8743920 44338961 88677922 133016883 177355844 221694805 266033766 354711688 443389610 532067532 665084415 709423376 886779220 1064135064 1330168830 1773558440 2128270128 2660337660 3547116880 5320675320 10641350640