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13457500452 = 22321125952363
BaseRepresentation
bin11001000100010000…
…10010100100100100
31021201212122212002200
430202020102210210
5210030110003302
610103212534500
7654326603124
oct144210224444
937655585080
1013457500452
115786454300
122736a81430
1313660c6626
1491941ac84
1553b6c281c
hex322212924

13457500452 has 108 divisors (see below), whose sum is σ = 38025689520. Its totient is φ = 4008834720.

The previous prime is 13457500447. The next prime is 13457500457. The reversal of 13457500452 is 25400575431.

13457500452 is a `hidden beast` number, since 1 + 34 + 575 + 0 + 0 + 4 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (13457500447) and next prime (13457500457).

It is a super-2 number, since 2×134575004522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13457500457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230823 + ... + 283185.

Almost surely, 213457500452 is an apocalyptic number.

13457500452 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 13457500452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012844760).

13457500452 is an abundant number, since it is smaller than the sum of its proper divisors (24568189068).

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

13457500452 is a wasteful number, since it uses less digits than its factorization.

13457500452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52454 (or 52438 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 13457500452 in words is "thirteen billion, four hundred fifty-seven million, five hundred thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 121 132 177 198 236 242 354 363 396 484 531 649 708 726 1062 1089 1298 1452 1947 2124 2178 2596 3894 4356 5841 7139 7788 11682 14278 21417 23364 28556 42834 52363 64251 85668 104726 128502 157089 209452 257004 314178 471267 575993 628356 942534 1151986 1727979 1885068 2303972 3089417 3455958 5183937 6178834 6335923 6911916 9268251 10367874 12357668 12671846 18536502 19007769 20735748 25343692 27804753 33983587 37073004 38015538 55609506 57023307 67967174 76031076 101950761 111219012 114046614 135934348 203901522 228093228 305852283 373819457 407803044 611704566 747638914 1121458371 1223409132 1495277828 2242916742 3364375113 4485833484 6728750226 13457500452