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61531341424 = 2471727326041
BaseRepresentation
bin111001010011100011…
…011100001001110000
312212211020002000021021
4321103203130021300
52002004010411144
644133410105224
74305542525650
oct712343341160
9185736060237
1061531341424
1124105924593
12bb1287b214
135a57aa3b87
142d99dd4360
151901ddd884
hexe538dc270

61531341424 has 120 divisors (see below), whose sum is σ = 146722294688. Its totient is φ = 24478433280.

The previous prime is 61531341383. The next prime is 61531341463. The reversal of 61531341424 is 42414313516.

It is a super-2 number, since 2×615313414242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 61531341424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2349844 + ... + 2375884.

Almost surely, 261531341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61531341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73361147344).

61531341424 is an abundant number, since it is smaller than the sum of its proper divisors (85190953264).

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

61531341424 is a wasteful number, since it uses less digits than its factorization.

61531341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26163 (or 26140 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 61531341424 in words is "sixty-one billion, five hundred thirty-one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 112 119 136 146 238 272 289 292 476 511 578 584 952 1022 1156 1168 1241 1904 2023 2044 2312 2482 4046 4088 4624 4964 8092 8176 8687 9928 16184 17374 19856 21097 26041 32368 34748 42194 52082 69496 84388 104164 138992 147679 168776 182287 208328 295358 337552 364574 416656 442697 590716 729148 885394 1181432 1458296 1770788 1900993 2362864 2916592 3098879 3541576 3801986 6197758 7083152 7525849 7603972 12395516 13306951 15051698 15207944 24791032 26613902 30103396 30415888 32316881 49582064 52680943 53227804 60206792 64633762 105361886 106455608 120413584 129267524 210723772 212911216 226218167 258535048 421447544 452436334 517070096 549386977 842895088 904872668 1098773954 1809745336 2197547908 3619490672 3845708839 4395095816 7691417678 8790191632 15382835356 30765670712 61531341424