Search a number
-
+
49956473760 = 2535312133347
BaseRepresentation
bin101110100001101000…
…110100101110100000
311202221112220210211220
4232201220310232200
51304302324130020
634541044335040
73415653010044
oct564150645640
9152845823756
1049956473760
111a206144156
1298223a4480
134931a4015b
1425bca40024
151475b48240
hexba1a34ba0

49956473760 has 96 divisors (see below), whose sum is σ = 157418033472. Its totient is φ = 13317058560.

The previous prime is 49956473741. The next prime is 49956473771. The reversal of 49956473760 is 6737465994.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 49956473694 and 49956473703.

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, 1481407 + ... + 1514753.

It is an arithmetic number, because the mean of its divisors is an integer number (1639771182).

Almost surely, 249956473760 is an apocalyptic number.

49956473760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49956473760 is an abundant number, since it is smaller than the sum of its proper divisors (107461559712).

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

49956473760 is a wasteful number, since it uses less digits than its factorization.

49956473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36486 (or 36478 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 49956473760 in words is "forty-nine billion, nine hundred fifty-six million, four hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3121 6242 9363 12484 15605 18726 24968 31210 33347 37452 46815 49936 62420 66694 74904 93630 99872 100041 124840 133388 149808 166735 187260 200082 249680 266776 299616 333470 374520 400164 499360 500205 533552 666940 749040 800328 1000410 1067104 1333880 1498080 1600656 2000820 2667760 3201312 4001640 5335520 8003280 16006560 104075987 208151974 312227961 416303948 520379935 624455922 832607896 1040759870 1248911844 1561139805 1665215792 2081519740 2497823688 3122279610 3330431584 4163039480 4995647376 6244559220 8326078960 9991294752 12489118440 16652157920 24978236880 49956473760