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3138843680 = 25574636053
BaseRepresentation
bin1011101100010110…
…1111010000100000
322002202021210001122
42323011233100200
522412020444210
61235244151412
7140532505520
oct27305572040
98082253048
103138843680
111370882795
12737238568
133b03a846b
1421ac29680
1513586cb55
hexbb16f420

3138843680 has 96 divisors (see below), whose sum is σ = 8494585344. Its totient is φ = 1073673216.

The previous prime is 3138843667. The next prime is 3138843691. The reversal of 3138843680 is 863488313.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515534 + ... + 521586.

It is an arithmetic number, because the mean of its divisors is an integer number (88485264).

Almost surely, 23138843680 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 3138843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247292672).

3138843680 is an abundant number, since it is smaller than the sum of its proper divisors (5355741664).

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

3138843680 is a wasteful number, since it uses less digits than its factorization.

3138843680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 3138843680 is about 56025.3842467858. The cubic root of 3138843680 is about 1464.1645778331.

The spelling of 3138843680 in words is "three billion, one hundred thirty-eight million, eight hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 463 560 926 1120 1852 2315 3241 3704 4630 6053 6482 7408 9260 12106 12964 14816 16205 18520 24212 25928 30265 32410 37040 42371 48424 51856 60530 64820 74080 84742 96848 103712 121060 129640 169484 193696 211855 242120 259280 338968 423710 484240 518560 677936 847420 968480 1355872 1694840 2802539 3389680 5605078 6779360 11210156 14012695 19617773 22420312 28025390 39235546 44840624 56050780 78471092 89681248 98088865 112101560 156942184 196177730 224203120 313884368 392355460 448406240 627768736 784710920 1569421840 3138843680