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38432717118380 = 22513973494366471
BaseRepresentation
bin10001011110100010100000…
…11100111001101110101100
312001002010120010200100102102
420233101100130321232230
520014140201040242010
6213423425124514232
711044446362256314
oct1057212034715654
9161063503610372
1038432717118380
11112782509689a2
12438862724b978
13185a260934b90
1496c221044444
15469acaa78ba5
hex22f450739bac

38432717118380 has 96 divisors (see below), whose sum is σ = 88064753884800. Its totient is φ = 14004002856960.

The previous prime is 38432717118353. The next prime is 38432717118403. The reversal of 38432717118380 is 8381171723483.

38432717118380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6618545 + ... + 10985015.

It is an arithmetic number, because the mean of its divisors is an integer number (917341186300).

Almost surely, 238432717118380 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 38432717118380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44032376942400).

38432717118380 is an abundant number, since it is smaller than the sum of its proper divisors (49632036766420).

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

38432717118380 is a wasteful number, since it uses less digits than its factorization.

38432717118380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366939 (or 4366937 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 38432717118380 in words is "thirty-eight trillion, four hundred thirty-two billion, seven hundred seventeen million, one hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 349 388 485 698 970 1261 1396 1745 1940 2522 3490 4537 5044 6305 6980 9074 12610 18148 22685 25220 33853 45370 67706 90740 135412 169265 338530 440089 677060 880178 1760356 2200445 4366471 4400890 8732942 8801780 17465884 21832355 43664710 56764123 87329420 113528246 227056492 283820615 423547687 567641230 847095374 1135282460 1523898379 1694190748 2117738435 3047796758 4235476870 5506119931 6095593516 7619491895 8470953740 11012239862 15238983790 19810678927 22024479724 27530599655 30477967580 39621357854 55061199310 79242715708 99053394635 110122398620 147818142763 198106789270 295636285526 396213578540 591272571052 739090713815 1478181427630 1921635855919 2956362855260 3843271711838 7686543423676 9608179279595 19216358559190 38432717118380