Search a number
-
+
248310050640 = 24359671069933
BaseRepresentation
bin1110011101000001101…
…1101010111101010000
3212201221011011112102020
43213100123222331100
513032014333110030
6310023322051440
723640232414461
oct3472033527520
9781834145366
10248310050640
1196342606293
124015a649b80
131a552c21262
14c0381c4d68
1566d479d510
hex39d06eaf50

248310050640 has 80 divisors (see below), whose sum is σ = 770557907328. Its totient is φ = 66147475968.

The previous prime is 248310050633. The next prime is 248310050669. The reversal of 248310050640 is 46050013842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 302887 + ... + 767046.

Almost surely, 2248310050640 is an apocalyptic number.

248310050640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248310050640 is an abundant number, since it is smaller than the sum of its proper divisors (522247856688).

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

248310050640 is a wasteful number, since it uses less digits than its factorization.

248310050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070916 (or 1070910 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 248310050640 in words is "two hundred forty-eight billion, three hundred ten million, fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 967 1934 2901 3868 4835 5802 7736 9670 11604 14505 15472 19340 23208 29010 38680 46416 58020 77360 116040 232080 1069933 2139866 3209799 4279732 5349665 6419598 8559464 10699330 12839196 16048995 17118928 21398660 25678392 32097990 42797320 51356784 64195980 85594640 128391960 256783920 1034625211 2069250422 3103875633 4138500844 5173126055 6207751266 8277001688 10346252110 12415502532 15519378165 16554003376 20692504220 24831005064 31038756330 41385008440 49662010128 62077512660 82770016880 124155025320 248310050640