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38971111312 = 24723103191769
BaseRepresentation
bin100100010010110110…
…111111011110010000
310201120222000120120001
4210102312333132100
51114303101030222
625523022055344
72546511660220
oct442266773620
9121528016501
1038971111312
11155891a3811
12767741a554
1338a0b6c1a3
141c59aa0080
1510314eae27
hex912dbf790

38971111312 has 160 divisors (see below), whose sum is σ = 91514142720. Its totient is φ = 15717335040.

The previous prime is 38971111303. The next prime is 38971111339. The reversal of 38971111312 is 21311117983.

It is a super-2 number, since 2×389711113122 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 50677264 + ... + 50678032.

It is an arithmetic number, because the mean of its divisors is an integer number (571963392).

Almost surely, 238971111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38971111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45757071360).

38971111312 is an abundant number, since it is smaller than the sum of its proper divisors (52543031408).

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

38971111312 is a wasteful number, since it uses less digits than its factorization.

38971111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1095 counting only the distinct ones).

The product of its digits is 9072, while the sum is 37.

The spelling of 38971111312 in words is "thirty-eight billion, nine hundred seventy-one million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 103 112 161 184 191 206 322 368 382 412 644 721 764 769 824 1288 1337 1442 1528 1538 1648 2369 2576 2674 2884 3056 3076 4393 4738 5348 5383 5768 6152 8786 9476 10696 10766 11536 12304 16583 17572 17687 18952 19673 21392 21532 30751 33166 35144 35374 37904 39346 43064 61502 66332 70288 70748 78692 79207 86128 123004 123809 132664 137711 141496 146879 157384 158414 246008 247618 265328 275422 282992 293758 314768 316828 452479 492016 495236 550844 554449 587516 633656 904958 990472 1028153 1101688 1108898 1175032 1267312 1809916 1821761 1980944 2056306 2203376 2217796 2350064 3167353 3378217 3619832 3643522 4112612 4435592 6334706 6756434 7239664 7287044 8225224 8871184 12669412 12752327 13512868 14574088 15128537 16450448 23647519 25338824 25504654 27025736 29148176 30257074 47295038 50677648 51009308 54051472 60514148 94590076 102018616 105899759 121028296 189180152 204037232 211799518 242056592 347956351 378360304 423599036 695912702 847198072 1391825404 1694396144 2435694457 2783650808 4871388914 5567301616 9742777828 19485555656 38971111312