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10450234253352 = 233291031006114489
BaseRepresentation
bin1001100000010010001010…
…0000000010000000101000
31101000000212210102002122010
42120010202200002000220
52332204034432101402
634120434335355520
72126001355350405
oct230044240020050
941000783362563
1010450234253352
113369a12887483
1212093aa382ba0
135aa5b6c2481a
14281b18b9d2ac
15131c7ba54a6c
hex98122802028

10450234253352 has 128 divisors (see below), whose sum is σ = 27293456736000. Its totient is φ = 3330079549440.

The previous prime is 10450234253309. The next prime is 10450234253353. The reversal of 10450234253352 is 25335243205401.

It is a self number, because there is not a number n which added to its sum of digits gives 10450234253352.

It is not an unprimeable number, because it can be changed into a prime (10450234253353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721245724 + ... + 721260212.

It is an arithmetic number, because the mean of its divisors is an integer number (213230130750).

Almost surely, 210450234253352 is an apocalyptic number.

10450234253352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10450234253352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646728368000).

10450234253352 is an abundant number, since it is smaller than the sum of its proper divisors (16843222482648).

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

10450234253352 is a wasteful number, since it uses less digits than its factorization.

10450234253352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24691 (or 24687 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 10450234253352 its reverse (25335243205401), we get a palindrome (35785477458753).

The spelling of 10450234253352 in words is "ten trillion, four hundred fifty billion, two hundred thirty-four million, two hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 103 116 174 206 232 309 348 412 618 696 824 1236 2472 2987 5974 8961 10061 11948 14489 17922 20122 23896 28978 30183 35844 40244 43467 57956 60366 71688 80488 86934 115912 120732 173868 241464 291769 347736 420181 583538 840362 875307 1036283 1167076 1260543 1492367 1680724 1750614 2072566 2334152 2521086 2984734 3108849 3361448 3501228 4145132 4477101 5042172 5969468 6217698 7002456 8290264 8954202 10084344 11938936 12435396 17908404 24870792 30052207 35816808 43278643 60104414 86557286 90156621 120208828 129835929 145773829 173114572 180313242 240417656 259671858 291547658 346229144 360626484 437321487 519343716 583095316 721252968 874642974 1038687432 1166190632 1749285948 3498571896 4227441041 8454882082 12682323123 15014704387 16909764164 25364646246 30029408774 33819528328 45044113161 50729292492 60058817548 90088226322 101458584984 120117635096 180176452644 360352905288 435426427223 870852854446 1306279281669 1741705708892 2612558563338 3483411417784 5225117126676 10450234253352