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10212040453446 = 2331338940193257
BaseRepresentation
bin1001010010011010110100…
…0010110010110101000110
31100011021001122202100101000
42110212231002302311012
52314303224324002241
633415202511514130
72102536611432156
oct224465502626506
940137048670330
1010212040453446
1132879a1677097
12118b1b3828946
13590cb6b04260
142743a035c766
1512a98a478eb6
hex949ad0b2d46

10212040453446 has 128 divisors (see below), whose sum is σ = 24563261923200. Its totient is φ = 3126239539200.

The previous prime is 10212040453429. The next prime is 10212040453451. The reversal of 10212040453446 is 64435404021201.

10212040453446 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 204 + 0 + 4 + 5 + 3 + 446 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10212040453446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109457650 + ... + 109550906.

It is an arithmetic number, because the mean of its divisors is an integer number (191900483775).

Almost surely, 210212040453446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212040453446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281630961600).

10212040453446 is an abundant number, since it is smaller than the sum of its proper divisors (14351221469754).

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

10212040453446 is a wasteful number, since it uses less digits than its factorization.

10212040453446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94071 (or 94065 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10212040453446 its reverse (64435404021201), we get a palindrome (74647444474647).

The spelling of 10212040453446 in words is "ten trillion, two hundred twelve billion, forty million, four hundred fifty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 389 401 702 778 802 1167 1203 2334 2406 3501 3609 5057 5213 7002 7218 10114 10426 10503 10827 15171 15639 21006 21654 30342 31278 45513 46917 91026 93257 93834 136539 140751 155989 186514 273078 279771 281502 311978 467967 559542 839313 935934 1212341 1403901 1678626 2027857 2424682 2517939 2807802 3637023 4055714 4211703 5035878 6083571 7274046 8423406 10911069 12167142 18250713 21822138 32733207 36276973 36501426 37396057 54752139 65466414 72553946 74792114 108830919 109504278 112188171 217661838 224376342 326492757 336564513 471600649 486148741 652985514 673129026 943201298 972297482 979478271 1009693539 1414801947 1458446223 1958956542 2019387078 2829603894 2916892446 4244405841 4375338669 8488811682 8750677338 12733217523 13126016007 14547066173 25466435046 26252032014 29094132346 43641198519 87282397038 130923595557 189111860249 261847191114 378223720498 392770786671 567335580747 785541573342 1134671161494 1702006742241 3404013484482 5106020226723 10212040453446