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25600000000 = 21658
BaseRepresentation
bin10111110101111000…
…010000000000000000
32110002002220202002011
4113311320100000000
5404412100000000
615432132502304
71564251260341
oct276570200000
973062822064
1025600000000
11a9475949a3
124b6547a994
13254c9320c3
14134bd300c8
159ec6e02ba
hex5f5e10000

25600000000 has 153 divisors (see below), whose sum is σ = 63999478951. Its totient is φ = 10240000000.

The previous prime is 25599999977. The next prime is 25600000039. The reversal of 25600000000 is 652.

The square root of 25600000000 is 160000.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18201247744 + 7398752256 = 134912^2 + 86016^2 .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5119999998 + ... + 5120000002.

Almost surely, 225600000000 is an apocalyptic number.

25600000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25600000000 is the 160000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25600000000

25600000000 is an abundant number, since it is smaller than the sum of its proper divisors (38399478951).

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

25600000000 is an frugal number, since it uses more digits than its factorization.

25600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 25600000000 its reverse (652), we get a palindrome (25600000652).

The spelling of 25600000000 in words is "twenty-five billion, six hundred million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 8192 10000 10240 12500 12800 15625 16000 16384 20000 20480 25000 25600 31250 32000 32768 40000 40960 50000 51200 62500 64000 65536 78125 80000 81920 100000 102400 125000 128000 156250 160000 163840 200000 204800 250000 256000 312500 320000 327680 390625 400000 409600 500000 512000 625000 640000 781250 800000 819200 1000000 1024000 1250000 1280000 1562500 1600000 1638400 2000000 2048000 2500000 2560000 3125000 3200000 4000000 4096000 5000000 5120000 6250000 6400000 8000000 8192000 10000000 10240000 12500000 12800000 16000000 20000000 20480000 25000000 25600000 32000000 40000000 40960000 50000000 51200000 64000000 80000000 100000000 102400000 128000000 160000000 200000000 204800000 256000000 320000000 400000000 512000000 640000000 800000000 1024000000 1280000000 1600000000 2560000000 3200000000 5120000000 6400000000 12800000000 25600000000