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10639952323836 = 223111932609160079
BaseRepresentation
bin1001101011010100111010…
…0101000010010011111100
31101200011120120102122102020
42122311032211002103330
52343311110243330321
634343532052200140
72145465636344463
oct232651645022374
941604516378366
1010639952323836
113432418781870
12123a116609050
135c2460014824
1428ad954cd9da
15136b824cb4c6
hex9ad4e9424fc

10639952323836 has 96 divisors (see below), whose sum is σ = 27234448819200. Its totient is φ = 3206272696320.

The previous prime is 10639952323801. The next prime is 10639952323883. The reversal of 10639952323836 is 63832325993601.

It is a happy number.

10639952323836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106399523238362 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10639952323836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66386845 + ... + 66546923.

It is an arithmetic number, because the mean of its divisors is an integer number (283692175200).

Almost surely, 210639952323836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10639952323836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617224409600).

10639952323836 is an abundant number, since it is smaller than the sum of its proper divisors (16594496495364).

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

10639952323836 is a wasteful number, since it uses less digits than its factorization.

10639952323836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162899 (or 162897 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 60.

The spelling of 10639952323836 in words is "ten trillion, six hundred thirty-nine billion, nine hundred fifty-two million, three hundred twenty-three thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 2609 4246 5218 6369 7827 8492 10436 12738 15654 25476 28699 31308 57398 86097 114796 160079 172194 320158 344388 480237 503537 640316 960474 1007074 1510611 1760869 1920948 2014148 3021222 3521738 5282607 5538907 6042444 7043476 10565214 11077814 16616721 21130428 22155628 30895247 33233442 61790494 66466884 92685741 123580988 185371482 339847717 370742964 417646111 679695434 835292222 1019543151 1252938333 1359390868 1670584444 2039086302 2505876666 4078172604 4594107221 5011753332 9188214442 13782321663 18376428884 27564643326 55129286652 80605699423 161211398846 241817098269 322422797692 483634196538 886662693653 967268393076 1773325387306 2659988080959 3546650774612 5319976161918 10639952323836