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53242424235 = 325711213107453
BaseRepresentation
bin110001100101011111…
…101110101110101011
312002102120000101111100
4301211133232232223
51333020030033420
640243105532443
73563253065430
oct614537565653
9162376011440
1053242424235
1120641a62400
12a39a944123
135036743650
1428111ddb87
1515b9373190
hexc657eebab

53242424235 has 144 divisors (see below), whose sum is σ = 124849513152. Its totient is φ = 20424476160.

The previous prime is 53242424167. The next prime is 53242424237.

53242424235 is a `hidden beast` number, since 532 + 42 + 42 + 42 + 3 + 5 = 666.

53242424235 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53242424235 - 27 = 53242424107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53242424235.

It is not an unprimeable number, because it can be changed into a prime (53242424237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441769 + ... + 549221.

It is an arithmetic number, because the mean of its divisors is an integer number (867010508).

Almost surely, 253242424235 is an apocalyptic number.

53242424235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53242424235 is an abundant number, since it is smaller than the sum of its proper divisors (71607088917).

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

53242424235 is a wasteful number, since it uses less digits than its factorization.

53242424235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107506 (or 107492 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The spelling of 53242424235 in words is "fifty-three billion, two hundred forty-two million, four hundred twenty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 121 143 165 195 231 273 315 363 385 429 455 495 585 605 693 715 819 847 1001 1089 1155 1287 1365 1573 1815 2145 2541 3003 3465 4095 4235 4719 5005 5445 6435 7623 7865 9009 11011 12705 14157 15015 23595 33033 38115 45045 55055 70785 99099 107453 165165 322359 495495 537265 752171 967077 1181983 1396889 1611795 2256513 3545949 3760855 4190667 4835385 5909915 6769539 6984445 8273881 9778223 10637847 11282565 12572001 13001813 15365779 17729745 20953335 24821643 29334669 33847695 39005439 41369405 46097337 48891115 53189235 62860005 65009065 74464929 76828895 88004007 91012691 107560453 117016317 124108215 138292011 146673345 169023569 195027195 230486685 273038073 322681359 372324645 440020035 455063455 507070707 537802265 585081585 691460055 819114219 845117845 968044077 1183164983 1365190365 1521212121 1613406795 2535353535 3549494949 4095571095 4840220385 5915824915 7606060605 10648484847 17747474745 53242424235