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5120000000 = 21657
BaseRepresentation
bin1001100010010110…
…10000000000000000
3111012211011221121122
410301023100000000
540441210000000
62204015211412
7240610165463
oct46113200000
914184157548
105120000000
112198119865
12baa816b68
136379857cb
14367dbb2da
151ee75c085
hex1312d0000

5120000000 has 136 divisors (see below), whose sum is σ = 12799869576. Its totient is φ = 2048000000.

The previous prime is 5119999991. The next prime is 5120000063. The reversal of 5120000000 is 215.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 5064884224 + 55115776 = 71168^2 + 7424^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023999998 + ... + 1024000002.

Almost surely, 25120000000 is an apocalyptic number.

5120000000 is a gapful number since it is divisible by the number (50) 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 5120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399934788).

5120000000 is an abundant number, since it is smaller than the sum of its proper divisors (7679869576).

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

5120000000 is an frugal number, since it uses more digits than its factorization.

5120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 5120000000 is about 71554.1752799933. The cubic root of 5120000000 is about 1723.5477520255.

5120000000 divided by its product of nonzero digits (10) gives a cube (512000000 = 8003).

Adding to 5120000000 its reverse (215), we get a palindrome (5120000215).

The spelling of 5120000000 in words is "five billion, one hundred twenty 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 400000 409600 500000 512000 625000 640000 800000 819200 1000000 1024000 1250000 1280000 1600000 1638400 2000000 2048000 2500000 2560000 3200000 4000000 4096000 5000000 5120000 6400000 8000000 8192000 10000000 10240000 12800000 16000000 20000000 20480000 25600000 32000000 40000000 40960000 51200000 64000000 80000000 102400000 128000000 160000000 204800000 256000000 320000000 512000000 640000000 1024000000 1280000000 2560000000 5120000000