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94969450000 = 24552776857
BaseRepresentation
bin101100001110010011…
…1101100111000010000
3100002010120202220222001
41120130213230320100
53023444134400000
6111343420523344
76601301001655
oct1303447547020
9302116686861
1094969450000
1137304862467
12164a50b0554
138c56545739
14484ccc9c2c
15270c79b46a
hex161c9ece10

94969450000 has 120 divisors (see below), whose sum is σ = 230853365064. Its totient is φ = 37845120000.

The previous prime is 94969449997. The next prime is 94969450007. The reversal of 94969450000 is 5496949.

It can be written as a sum of positive squares in 12 ways, for example, as 73881763344 + 21087686656 = 271812^2 + 145216^2 .

It is not an unprimeable number, because it can be changed into a prime (94969450007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13846572 + ... + 13853428.

Almost surely, 294969450000 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 94969450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115426682532).

94969450000 is an abundant number, since it is smaller than the sum of its proper divisors (135883915064).

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

94969450000 is an equidigital number, since it uses as much as digits as its factorization.

94969450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 94969450000 in words is "ninety-four billion, nine hundred sixty-nine million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 277 400 500 554 625 1000 1108 1250 1385 2000 2216 2500 2770 3125 4432 5000 5540 6250 6857 6925 10000 11080 12500 13714 13850 22160 25000 27428 27700 34285 34625 50000 54856 55400 68570 69250 109712 110800 137140 138500 171425 173125 274280 277000 342850 346250 548560 554000 685700 692500 857125 865625 1371400 1385000 1714250 1731250 1899389 2742800 2770000 3428500 3462500 3798778 4285625 6857000 6925000 7597556 8571250 9496945 13714000 13850000 15195112 17142500 18993890 21428125 30390224 34285000 37987780 42856250 47484725 68570000 75975560 85712500 94969450 151951120 171425000 189938900 237423625 342850000 379877800 474847250 759755600 949694500 1187118125 1899389000 2374236250 3798778000 4748472500 5935590625 9496945000 11871181250 18993890000 23742362500 47484725000 94969450000