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47813139456 = 210319819167
BaseRepresentation
bin101100100001111000…
…101001110000000000
311120102011212010220220
4230201320221300000
51240410130430311
633544241303040
73311565660015
oct544170516000
9146364763826
1047813139456
11193062a8395
129324634a80
13467c98bbc4
14245811370c
15139c8c1206
hexb21e29c00

47813139456 has 88 divisors (see below), whose sum is σ = 134146951680. Its totient is φ = 15098867712.

The previous prime is 47813139403. The next prime is 47813139457. The reversal of 47813139456 is 65493131874.

It is a junction number, because it is equal to n+sod(n) for n = 47813139399 and 47813139408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47813139457) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 351216 + ... + 467951.

Almost surely, 247813139456 is an apocalyptic number.

It is an amenable number.

47813139456 is an abundant number, since it is smaller than the sum of its proper divisors (86333812224).

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

47813139456 is a wasteful number, since it uses less digits than its factorization.

47813139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819209 (or 819191 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 47813139456 in words is "forty-seven billion, eight hundred thirteen million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 819167 1638334 2457501 3276668 4915002 6553336 9830004 13106672 15564173 19660008 26213344 31128346 39320016 46692519 52426688 62256692 78640032 93385038 104853376 124513384 157280064 186770076 209706752 249026768 314560128 373540152 419413504 498053536 629120256 747080304 838827008 996107072 1258240512 1494160608 1992214144 2516481024 2988321216 3984428288 5976642432 7968856576 11953284864 15937713152 23906569728 47813139456