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10447875206964 = 2232131131791103699
BaseRepresentation
bin1001100000001001010111…
…1000111110111100110100
31100222210210101110010100200
42120002111320332330310
52332134222023110324
634115404305040500
72125556041653216
oct230022570767464
940883711403320
1010447875206964
113368a121a6a68
121208a50326130
135aa2cc2777a0
142819737605b6
15131b8e8bcec9
hex98095e3ef34

10447875206964 has 144 divisors (see below), whose sum is σ = 28853455176000. Its totient is φ = 3168478559232.

The previous prime is 10447875206939. The next prime is 10447875206987. The reversal of 10447875206964 is 46960257874401.

10447875206964 is a `hidden beast` number, since 1 + 0 + 4 + 47 + 8 + 7 + 520 + 6 + 9 + 64 = 666.

10447875206964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914387 + ... + 10018085.

It is an arithmetic number, because the mean of its divisors is an integer number (200371216500).

Almost surely, 210447875206964 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 10447875206964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426727588000).

10447875206964 is an abundant number, since it is smaller than the sum of its proper divisors (18405579969036).

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

10447875206964 is a wasteful number, since it uses less digits than its factorization.

10447875206964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104014 (or 1104009 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 10447875206964 in words is "ten trillion, four hundred forty-seven billion, eight hundred seventy-five million, two hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 179 226 234 339 358 452 468 537 678 716 1017 1074 1356 1469 1611 2034 2148 2327 2938 3222 4068 4407 4654 5876 6444 6981 8814 9308 13221 13962 17628 20227 20943 26442 27924 40454 41886 52884 60681 80908 83772 121362 182043 242724 262951 364086 525902 728172 788853 1051804 1103699 1577706 2207398 2366559 3155412 3311097 4414796 4733118 6622194 9466236 9933291 13244388 14348087 19866582 28696174 39733164 43044261 57392348 86088522 124717987 129132783 172177044 197562121 249435974 258265566 374153961 395124242 498871948 516531132 592686363 748307922 790248484 1122461883 1185372726 1496615844 1621333831 1778059089 2244923766 2370745452 2568307573 3242667662 3556118178 4489847532 4864001493 5136615146 6485335324 7112236356 7704922719 9728002986 10273230292 14592004479 15409845438 19456005972 22324519673 23114768157 29184008958 30819690876 44649039346 46229536314 58368017916 66973559019 89298078692 92459072628 133947118038 200920677057 267894236076 290218755749 401841354114 580437511498 803682708228 870656267247 1160875022996 1741312534494 2611968801741 3482625068988 5223937603482 10447875206964