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10553213352 = 23311178832663
BaseRepresentation
bin10011101010000010…
…10100000110101000
31000020110201210011210
421311001110012220
5133103110311402
64503103553120
7522342555603
oct116501240650
930213653153
1010553213352
114526017430
1220662bb7a0
13cc24b4456
1472180b33a
1541b73806c
hex2750541a8

10553213352 has 128 divisors (see below), whose sum is σ = 30520488960. Its totient is φ = 3005291520.

The previous prime is 10553213273. The next prime is 10553213387. The reversal of 10553213352 is 25331235501.

It is a super-2 number, since 2×105532133522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3961573 + ... + 3964235.

It is an arithmetic number, because the mean of its divisors is an integer number (238441320).

Almost surely, 210553213352 is an apocalyptic number.

10553213352 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 10553213352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260244480).

10553213352 is an abundant number, since it is smaller than the sum of its proper divisors (19967275608).

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

10553213352 is a wasteful number, since it uses less digits than its factorization.

10553213352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 10553213352 its reverse (25331235501), we get a palindrome (35884448853).

The spelling of 10553213352 in words is "ten billion, five hundred fifty-three million, two hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 883 1122 1496 1766 2244 2649 2663 3532 4488 5298 5326 7064 7989 9713 10596 10652 15011 15978 19426 21192 21304 29139 29293 30022 31956 38852 45033 45271 58278 58586 60044 63912 77704 87879 90066 90542 116556 117172 120088 135813 165121 175758 180132 181084 233112 234344 271626 330242 351516 360264 362168 495363 497981 543252 660484 703032 990726 995962 1086504 1320968 1493943 1981452 1991924 2351429 2987886 3962904 3983848 4702858 5975772 7054287 9405716 11951544 14108574 18811432 25865719 28217148 39974293 51731438 56434296 77597157 79948586 103462876 119922879 155194314 159897172 206925752 239845758 310388628 319794344 439717223 479691516 620777256 879434446 959383032 1319151669 1758868892 2638303338 3517737784 5276606676 10553213352