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38917663960 = 23572132115031
BaseRepresentation
bin100100001111101011…
…000110110011011000
310201110020110011120111
4210033223012303120
51114200410221320
625513432334104
72545262454100
oct441753066330
9121406404514
1038917663960
1115561008a4a
127661544334
133892a77936
141c5294a200
15102b98ea5a
hex90fac6cd8

38917663960 has 96 divisors (see below), whose sum is σ = 101944919520. Its totient is φ = 13332211200.

The previous prime is 38917663921. The next prime is 38917663987. The reversal of 38917663960 is 6936671983.

38917663960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38917663895 and 38917663904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581645 + ... + 2596675.

It is an arithmetic number, because the mean of its divisors is an integer number (1061926245).

Almost surely, 238917663960 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 38917663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50972459760).

38917663960 is an abundant number, since it is smaller than the sum of its proper divisors (63027255560).

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

38917663960 is a wasteful number, since it uses less digits than its factorization.

38917663960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16377 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 38917663960 in words is "thirty-eight billion, nine hundred seventeen million, six hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1321 1960 2642 5284 6605 9247 10568 13210 15031 18494 26420 30062 36988 46235 52840 60124 64729 73976 75155 92470 105217 120248 129458 150310 184940 210434 258916 300620 323645 369880 420868 517832 526085 601240 647290 736519 841736 1052170 1294580 1473038 2104340 2589160 2946076 3682595 4208680 5892152 7365190 14730380 19855951 29460760 39711902 79423804 99279755 138991657 158847608 198559510 277983314 397119020 555966628 694958285 794238040 972941599 1111933256 1389916570 1945883198 2779833140 3891766396 4864707995 5559666280 7783532792 9729415990 19458831980 38917663960