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48008623290432 = 263735720701853
BaseRepresentation
bin10101110101001111000001…
…11011111111100001000000
320021222120122111112221210220
422322213200323333201000
522243033130030243212
6250034505043223040
713053336303604350
oct1272474073774100
9207876574487726
1048008623290432
111432a3852a1012
125474486977a80
1320a326989362c
14bbd8b610cb60
15583c33c4b38c
hex2ba9e0eff840

48008623290432 has 56 divisors (see below), whose sum is σ = 145168932334656. Its totient is φ = 13716749511168.

The previous prime is 48008623290421. The next prime is 48008623290479. The reversal of 48008623290432 is 23409232680084.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×480086232904323 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17860349583 + ... + 17860352270.

Almost surely, 248008623290432 is an apocalyptic number.

48008623290432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48008623290432 is an abundant number, since it is smaller than the sum of its proper divisors (97160309044224).

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

48008623290432 is a wasteful number, since it uses less digits than its factorization.

48008623290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35720701875 (or 35720701865 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 48008623290432 in words is "forty-eight trillion, eight billion, six hundred twenty-three million, two hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 35720701853 71441403706 107162105559 142882807412 214324211118 250044912971 285765614824 428648422236 500089825942 571531229648 750134738913 857296844472 1000179651884 1143062459296 1500269477826 1714593688944 2000359303768 2286124918592 3000538955652 3429187377888 4000718607536 6001077911304 6858374755776 8001437215072 12002155822608 16002874430144 24004311645216 48008623290432