Search a number
-
+
38997215824 = 24717314631427
BaseRepresentation
bin100100010100011010…
…100100101001010000
310201122210010211012211
4210110122210221100
51114331241401244
625525353401504
72550246602530
oct442432445120
9121583124184
1038997215824
11155a1a03496
127684109294
1338a63ac048
141c5d3374c0
151033955934
hex9146a4a50

38997215824 has 160 divisors (see below), whose sum is σ = 94649942016. Its totient is φ = 15179028480.

The previous prime is 38997215801. The next prime is 38997215833. The reversal of 38997215824 is 42851279983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27327399 + ... + 27328825.

Almost surely, 238997215824 is an apocalyptic number.

38997215824 is a gapful number since it is divisible by the number (34) 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 38997215824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47324971008).

38997215824 is an abundant number, since it is smaller than the sum of its proper divisors (55652726192).

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

38997215824 is a wasteful number, since it uses less digits than its factorization.

38997215824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1947 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 38997215824 in words is "thirty-eight billion, nine hundred ninety-seven million, two hundred fifteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 434 463 476 496 527 868 926 952 1054 1427 1736 1852 1904 2108 2854 3241 3472 3689 3704 4216 5708 6482 7378 7408 7871 8432 9989 11416 12964 14353 14756 15742 19978 22832 24259 25928 28706 29512 31484 39956 44237 48518 51856 55097 57412 59024 62968 79912 88474 97036 100471 110194 114824 125936 159824 169813 176948 194072 200942 220388 229648 244001 309659 339626 353896 388144 401884 440776 488002 619318 660701 679252 707792 752029 803768 881552 976004 1238636 1321402 1358504 1504058 1607536 1708007 1952008 2477272 2642804 2717008 3008116 3416014 3904016 4624907 4954544 5264203 5285608 6016232 6832028 9249814 10528406 10571216 11231917 12032464 13664056 18499628 20481731 21056812 22463834 27328112 36999256 40963462 42113624 44927668 73998512 78623419 81926924 84227248 89855336 143372117 157246838 163853848 179710672 286744234 314493676 327707696 348189427 573488468 628987352 696378854 1146976936 1257974704 1392757708 2293953872 2437325989 2785515416 4874651978 5571030832 9749303956 19498607912 38997215824