Search a number
-
+
53557241136 = 2437676133881
BaseRepresentation
bin110001111000010000…
…101010010100110000
312010020111101202002120
4301320100222110300
51334141123204021
640334233314240
73604125016110
oct617020522460
9163214352076
1053557241136
1120793736a63
12a468265980
135086a2b639
142840d4d040
1515d6d0c2c6
hexc7842a530

53557241136 has 160 divisors (see below), whose sum is σ = 160784613888. Its totient is φ = 15045212160.

The previous prime is 53557241131. The next prime is 53557241147. The reversal of 53557241136 is 63114275535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53557241131) 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, 13797916 + ... + 13801796.

Almost surely, 253557241136 is an apocalyptic number.

53557241136 is a gapful number since it is divisible by the number (56) 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 53557241136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80392306944).

53557241136 is an abundant number, since it is smaller than the sum of its proper divisors (107227372752).

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

53557241136 is a wasteful number, since it uses less digits than its factorization.

53557241136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4573 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The spelling of 53557241136 in words is "fifty-three billion, five hundred fifty-seven million, two hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 613 804 938 1072 1226 1407 1608 1839 1876 2452 2814 3216 3678 3752 3881 4291 4904 5628 7356 7504 7762 8582 9808 11256 11643 12873 14712 15524 17164 22512 23286 25746 27167 29424 31048 34328 41071 46572 51492 54334 62096 68656 81501 82142 93144 102984 108668 123213 163002 164284 186288 205968 217336 246426 260027 287497 326004 328568 434672 492852 520054 574994 652008 657136 780081 862491 985704 1040108 1149988 1304016 1560162 1724982 1820189 1971408 2080216 2299976 2379053 3120324 3449964 3640378 4160432 4599952 4758106 5460567 6240648 6899928 7137159 7280756 9516212 10921134 12481296 13799856 14274318 14561512 16653371 19032424 21842268 28548636 29123024 33306742 38064848 43684536 49960113 57097272 66613484 87369072 99920226 114194544 133226968 159396551 199840452 266453936 318793102 399680904 478189653 637586204 799361808 956379306 1115775857 1275172408 1912758612 2231551714 2550344816 3347327571 3825517224 4463103428 6694655142 7651034448 8926206856 13389310284 17852413712 26778620568 53557241136