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46963394304 = 28361799109
BaseRepresentation
bin101011101111001111…
…001000011100000000
311111012221220121201020
4223233033020130000
51232140112104204
633324044305440
73251540156631
oct535717103400
9144187817636
1046963394304
1118a0a680272
129127b42280
13457590c918
1423b7319888
15134cebebd9
hexaef3c8700

46963394304 has 72 divisors (see below), whose sum is σ = 125194959120. Its totient is φ = 15628935168.

The previous prime is 46963394297. The next prime is 46963394329. The reversal of 46963394304 is 40349336964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424302 + ... + 523410.

Almost surely, 246963394304 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 46963394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62597479560).

46963394304 is an abundant number, since it is smaller than the sum of its proper divisors (78231564816).

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

46963394304 is an equidigital number, since it uses as much as digits as its factorization.

46963394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99745 (or 99731 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 51.

The spelling of 46963394304 in words is "forty-six billion, nine hundred sixty-three million, three hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 617 768 1234 1851 2468 3702 4936 7404 9872 14808 19744 29616 39488 59232 78976 99109 118464 157952 198218 236928 297327 396436 473856 594654 792872 1189308 1585744 2378616 3171488 4757232 6342976 9514464 12685952 19028928 25371904 38057856 61150253 76115712 122300506 183450759 244601012 366901518 489202024 733803036 978404048 1467606072 1956808096 2935212144 3913616192 5870424288 7827232384 11740848576 15654464768 23481697152 46963394304