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38381613336 = 23321126172223
BaseRepresentation
bin100011101111101110…
…001111000100011000
310200001212202222100200
4203233232033010120
51112101143111321
625344323102200
72526063221223
oct435756170430
9120055688320
1038381613336
1115306469200
127531b11960
1338089ac811
141c0168c5ba
15ee98a4d26
hex8efb8f118

38381613336 has 144 divisors (see below), whose sum is σ = 116134025280. Its totient is φ = 11439964800.

The previous prime is 38381613323. The next prime is 38381613373. The reversal of 38381613336 is 63331618383.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38381613291 and 38381613300.

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 35 ways as a sum of consecutive naturals, for example, 495321 + ... + 567543.

Almost surely, 238381613336 is an apocalyptic number.

38381613336 is a gapful number since it is divisible by the number (36) 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 38381613336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58067012640).

38381613336 is an abundant number, since it is smaller than the sum of its proper divisors (77752411944).

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

38381613336 is a wasteful number, since it uses less digits than its factorization.

38381613336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72318 (or 72300 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 38381613336 in words is "thirty-eight billion, three hundred eighty-one million, six hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 61 66 72 88 99 121 122 132 183 198 242 244 264 363 366 396 484 488 549 671 726 732 792 968 1089 1098 1342 1452 1464 2013 2178 2196 2684 2904 4026 4356 4392 5368 6039 7381 8052 8712 12078 14762 16104 22143 24156 29524 44286 48312 59048 66429 72223 88572 132858 144446 177144 216669 265716 288892 433338 531432 577784 650007 794453 866676 1300014 1588906 1733352 2383359 2600028 3177812 4405603 4766718 5200056 6355624 7150077 8738983 8811206 9533436 13216809 14300154 17477966 17622412 19066872 26216949 26433618 28600308 34955932 35244824 39650427 48461633 52433898 52867236 57200616 69911864 78650847 79300854 96923266 104867796 105734472 145384899 157301694 158601708 193846532 209735592 290769798 314603388 317203416 387693064 436154697 533077963 581539596 629206776 872309394 1066155926 1163079192 1599233889 1744618788 2132311852 3198467778 3489237576 4264623704 4797701667 6396935556 9595403334 12793871112 19190806668 38381613336