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63122426430 = 23571971922003
BaseRepresentation
bin111010110010011000…
…111100101000111110
320000221002222111120120
4322302120330220332
52013233320121210
644555324355410
74363142525520
oct726230745076
9200832874516
1063122426430
1124851a67278
12102976a5b66
135c4c607bab
1430ab447a10
15199692b270
hexeb263ca3e

63122426430 has 128 divisors (see below), whose sum is σ = 182509977600. Its totient is φ = 13648984704.

The previous prime is 63122426413. The next prime is 63122426431. The reversal of 63122426430 is 3462422136.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 63122426391 and 63122426400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63122426431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2857809 + ... + 2879811.

It is an arithmetic number, because the mean of its divisors is an integer number (1425859200).

Almost surely, 263122426430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63122426430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91254988800).

63122426430 is an abundant number, since it is smaller than the sum of its proper divisors (119387551170).

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

63122426430 is a wasteful number, since it uses less digits than its factorization.

63122426430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22758.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 63122426430 its reverse (3462422136), we get a palindrome (66584848566).

The spelling of 63122426430 in words is "sixty-three billion, one hundred twenty-two million, four hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 719 798 1330 1438 1995 2157 3595 3990 4314 5033 7190 10066 10785 13661 15099 21570 22003 25165 27322 30198 40983 44006 50330 66009 68305 75495 81966 95627 110015 132018 136610 150990 154021 191254 204915 220030 286881 308042 330045 409830 418057 462063 478135 573762 660090 770105 836114 924126 956270 1254171 1434405 1540210 2090285 2310315 2508342 2868810 2926399 4180570 4620630 5852798 6270855 8779197 12541710 14631995 15820157 17558394 29263990 31640314 43895985 47460471 79100785 87791970 94920942 110741099 158201570 221482198 237302355 300582983 332223297 474604710 553705495 601165966 664446594 901748949 1107410990 1502914915 1661116485 1803497898 2104080881 3005829830 3322232970 4208161762 4508744745 6312242643 9017489490 10520404405 12624485286 21040808810 31561213215 63122426430