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13388135148 = 2232192412337
BaseRepresentation
bin11000111011111111…
…01011101011101100
31021120001010201210100
430131333223223230
5204404330311043
610052254111100
7652525161663
oct143577535354
937501121710
1013388135148
115750287103
1227177ab490
13135491a97b
14910121dda
1553556ecd3
hex31dfebaec

13388135148 has 108 divisors (see below), whose sum is σ = 35877976680. Its totient is φ = 4197795840.

The previous prime is 13388135147. The next prime is 13388135207. The reversal of 13388135148 is 84153188331.

It is a happy number.

It is a super-2 number, since 2×133881351482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13388135147) 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 35 ways as a sum of consecutive naturals, for example, 39727236 + ... + 39727572.

Almost surely, 213388135148 is an apocalyptic number.

13388135148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388135148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938988340).

13388135148 is an abundant number, since it is smaller than the sum of its proper divisors (22489841532).

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

13388135148 is a wasteful number, since it uses less digits than its factorization.

13388135148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 602 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 13388135148 in words is "thirteen billion, three hundred eighty-eight million, one hundred thirty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 241 337 342 482 674 684 723 964 1011 1348 1446 2022 2169 2892 3033 4044 4338 4579 6066 6403 8676 9158 12132 12806 13737 18316 19209 25612 27474 38418 41211 54948 57627 58081 76836 81217 82422 115254 116162 162434 164844 174243 230508 232324 243651 324868 348486 487302 522729 696972 730953 974604 1045458 1103539 1461906 1543123 2090916 2207078 2923812 3086246 3310617 4414156 4629369 6172492 6621234 9258738 9931851 13242468 13888107 18517476 19573297 19863702 27776214 39146594 39727404 55552428 58719891 78293188 117439782 176159673 234879564 352319346 371892643 704638692 743785286 1115677929 1487570572 2231355858 3347033787 4462711716 6694067574 13388135148