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42864962320 = 2453129395881
BaseRepresentation
bin100111111010111100…
…110110101100010000
311002122022222200222001
4213322330312230100
51200241412243240
631405240523344
73045143111425
oct477274665420
9132568880861
1042864962320
11171a71766a4
128383480554
1340717a633b
142108ca1d4c
1511ad2a489a
hex9faf36b10

42864962320 has 80 divisors (see below), whose sum is σ = 102928412160. Its totient is φ = 16584422400.

The previous prime is 42864962311. The next prime is 42864962323. The reversal of 42864962320 is 2326946824.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42864962323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285780 + ... + 7291660.

It is an arithmetic number, because the mean of its divisors is an integer number (1286605152).

Almost surely, 242864962320 is an apocalyptic number.

42864962320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42864962320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51464206080).

42864962320 is an abundant number, since it is smaller than the sum of its proper divisors (60063449840).

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

42864962320 is a wasteful number, since it uses less digits than its factorization.

42864962320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 42864962320 in words is "forty-two billion, eight hundred sixty-four million, nine hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 2939 5878 5881 11756 11762 14695 23512 23524 29390 29405 47024 47048 58780 58810 91109 94096 117560 117620 182218 182311 235120 235240 364436 364622 455545 470480 728872 729244 911090 911555 1457744 1458488 1822180 1823110 2916976 3644360 3646220 7288720 7292440 14584880 17284259 34568518 69137036 86421295 138274072 172842590 276548144 345685180 535812029 691370360 1071624058 1382740720 2143248116 2679060145 4286496232 5358120290 8572992464 10716240580 21432481160 42864962320