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63140415426 = 2321110327711177
BaseRepresentation
bin111010110011011101…
…100100011111000010
320000222100211102211200
4322303131210133002
52013302421243201
645001210122030
74363451450544
oct726335443702
9200870742750
1063140415426
1124861133710
12102a1720316
135c53265b7a
1430ad9ab694
1519982d1386
hexeb37647c2

63140415426 has 96 divisors (see below), whose sum is σ = 151247461248. Its totient is φ = 18877605120.

The previous prime is 63140415367. The next prime is 63140415433. The reversal of 63140415426 is 62451404136.

63140415426 is a `hidden beast` number, since 6 + 31 + 40 + 41 + 542 + 6 = 666.

It is a super-2 number, since 2×631404154262 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5643550 + ... + 5654726.

It is an arithmetic number, because the mean of its divisors is an integer number (1575494388).

Almost surely, 263140415426 is an apocalyptic number.

63140415426 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63140415426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75623730624).

63140415426 is an abundant number, since it is smaller than the sum of its proper divisors (88107045822).

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

63140415426 is a wasteful number, since it uses less digits than its factorization.

63140415426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11573 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 63140415426 in words is "sixty-three billion, one hundred forty million, four hundred fifteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 277 309 554 618 831 927 1133 1662 1854 2266 2493 3047 3399 4986 6094 6798 9141 10197 11177 18282 20394 22354 27423 28531 33531 54846 57062 67062 85593 100593 122947 171186 201186 245894 256779 313841 368841 513558 627682 737682 941523 1106523 1151231 1883046 2213046 2302462 2824569 3096029 3453693 5649138 6192058 6907386 9288087 10361079 12663541 18576174 20722158 25327082 27864261 34056319 37990623 55728522 68112638 75981246 102168957 113971869 204337914 227943738 306506871 318890987 613013742 637781974 956672961 1913345922 2870018883 3507800857 5740037766 7015601714 10523402571 21046805142 31570207713 63140415426