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13813471998 = 2331964720809
BaseRepresentation
bin11001101110101100…
…01101101011111110
31022122200111002021000
430313112031223332
5211242222100443
610202410351130
7666211401054
oct146726155376
938580432230
1013813471998
115949387a67
12281612b4a6
1313c1a90891
149508001d4
1555ca8a8d3
hex33758dafe

13813471998 has 64 divisors (see below), whose sum is σ = 32363712000. Its totient is φ = 4355197632.

The previous prime is 13813471963. The next prime is 13813471999. The reversal of 13813471998 is 89917431831.

It is a happy number.

13813471998 is a `hidden beast` number, since 1 + 3 + 81 + 3 + 471 + 9 + 98 = 666.

It is a super-2 number, since 2×138134719982 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813471999) 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, 653418 + ... + 674226.

It is an arithmetic number, because the mean of its divisors is an integer number (505683000).

Almost surely, 213813471998 is an apocalyptic number.

13813471998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13813471998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181856000).

13813471998 is an abundant number, since it is smaller than the sum of its proper divisors (18550240002).

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

13813471998 is a wasteful number, since it uses less digits than its factorization.

13813471998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21486 (or 21480 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 13813471998 in words is "thirteen billion, eight hundred thirteen million, four hundred seventy-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 647 1026 1294 1941 3882 5823 11646 12293 17469 20809 24586 34938 36879 41618 62427 73758 110637 124854 187281 221274 331911 374562 395371 561843 663822 790742 1123686 1186113 2372226 3558339 7116678 10675017 13463423 21350034 26926846 40390269 80780538 121170807 242341614 255805037 363512421 511610074 727024842 767415111 1534830222 2302245333 4604490666 6906735999 13813471998