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49004446752 = 25321956915739
BaseRepresentation
bin101101101000111001…
…001000010000100000
311200111012111211022100
4231220321020100200
51300330114244002
634302355210400
73353242632102
oct555071102040
9150435454270
1049004446752
1119867807178
1295b75a6a00
13480c72b871
14252c41d572
15141c29111c
hexb68e48420

49004446752 has 144 divisors (see below), whose sum is σ = 146958084000. Its totient is φ = 15446909952.

The previous prime is 49004446747. The next prime is 49004446763. The reversal of 49004446752 is 25764440094.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 49004446698 and 49004446707.

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 23 ways as a sum of consecutive naturals, for example, 3105699 + ... + 3121437.

It is an arithmetic number, because the mean of its divisors is an integer number (1020542250).

Almost surely, 249004446752 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 49004446752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73479042000).

49004446752 is an abundant number, since it is smaller than the sum of its proper divisors (97953637248).

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

49004446752 is a wasteful number, since it uses less digits than its factorization.

49004446752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16343 (or 16332 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 49004446752 in words is "forty-nine billion, four million, four hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 569 608 684 912 1138 1368 1707 1824 2276 2736 3414 4552 5121 5472 6828 9104 10242 10811 13656 15739 18208 20484 21622 27312 31478 32433 40968 43244 47217 54624 62956 64866 81936 86488 94434 97299 125912 129732 141651 163872 172976 188868 194598 251824 259464 283302 299041 345952 377736 389196 503648 518928 566604 598082 755472 778392 897123 1037856 1133208 1196164 1510944 1556784 1794246 2266416 2392328 2691369 3113568 3588492 4532832 4784656 5382738 7176984 8955491 9569312 10765476 14353968 17910982 21530952 26866473 28707936 35821964 43061904 53732946 71643928 80599419 86123808 107465892 143287856 161198838 170154329 214931784 286575712 322397676 340308658 429863568 510462987 644795352 680617316 859727136 1020925974 1289590704 1361234632 1531388961 2041851948 2579181408 2722469264 3062777922 4083703896 5444938528 6125555844 8167407792 12251111688 16334815584 24502223376 49004446752