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13738863348 = 22327416121799
BaseRepresentation
bin11001100101110011…
…00110101011110100
31022110111002120102200
430302321212223310
5211114122111343
610151143304500
7664314261120
oct146271465364
938414076380
1013738863348
115910259421
1227b514b130
1313ac49a452
1494493c580
1555624e4d3
hex332e66af4

13738863348 has 144 divisors (see below), whose sum is σ = 41326521600. Its totient is φ = 3766694400.

The previous prime is 13738863337. The next prime is 13738863353. The reversal of 13738863348 is 84336883731.

It is a junction number, because it is equal to n+sod(n) for n = 13738863294 and 13738863303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619353 + ... + 641151.

Almost surely, 213738863348 is an apocalyptic number.

13738863348 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 13738863348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20663260800).

13738863348 is an abundant number, since it is smaller than the sum of its proper divisors (27587658252).

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

13738863348 is a wasteful number, since it uses less digits than its factorization.

13738863348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21918 (or 21913 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13738863348 in words is "thirteen billion, seven hundred thirty-eight million, eight hundred sixty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 61 63 82 84 122 123 126 164 183 244 246 252 287 366 369 427 492 549 574 732 738 854 861 1098 1148 1281 1476 1708 1722 2196 2501 2562 2583 3444 3843 5002 5124 5166 7503 7686 10004 10332 15006 15372 17507 21799 22509 30012 35014 43598 45018 52521 65397 70028 87196 90036 105042 130794 152593 157563 196191 210084 261588 305186 315126 392382 457779 610372 630252 784764 893759 915558 1329739 1373337 1787518 1831116 2659478 2681277 2746674 3575036 3989217 5318956 5362554 5493348 6256313 7978434 8043831 9308173 10725108 11967651 12512626 15956868 16087662 18616346 18768939 23935302 25025252 27924519 32175324 37232692 37537878 47870604 54519299 55849038 56306817 75075756 83773557 109038598 111698076 112613634 163557897 167547114 218077196 225227268 327115794 335094228 381635093 490673691 654231588 763270186 981347382 1144905279 1526540372 1962694764 2289810558 3434715837 4579621116 6869431674 13738863348