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6441396400 = 245216103491
BaseRepresentation
bin1011111111110111…
…11110100010110000
3121121220121211201001
411333323332202300
5101142444141100
62543101251344
7315423652225
oct57773764260
917556554631
106441396400
1128060004aa
1212b9263b54
137b867267a
144516ab94c
1527a776d6a
hex17fefe8b0

6441396400 has 30 divisors (see below), whose sum is σ = 15475455812. Its totient is φ = 2576558400.

The previous prime is 6441396323. The next prime is 6441396419. The reversal of 6441396400 is 46931446.

It is a self number, because there is not a number n which added to its sum of digits gives 6441396400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8051346 + ... + 8052145.

Almost surely, 26441396400 is an apocalyptic number.

It is an amenable number.

6441396400 is an abundant number, since it is smaller than the sum of its proper divisors (9034059412).

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

6441396400 is a wasteful number, since it uses less digits than its factorization.

6441396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16103509 (or 16103498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 6441396400 is about 80258.3104731217. The cubic root of 6441396400 is about 1860.6299558098.

The spelling of 6441396400 in words is "six billion, four hundred forty-one million, three hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 16103491 32206982 64413964 80517455 128827928 161034910 257655856 322069820 402587275 644139640 805174550 1288279280 1610349100 3220698200 6441396400