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6480147840 = 27353375077
BaseRepresentation
bin1100000100011111…
…10011010110000000
3121201121112121200120
412002033303112000
5101232404212330
62551004020240
7316404230205
oct60217632600
917647477616
106480147840
112825968a91
12130a231680
137c36bcb0a
144568b7cac
1527dd7dc10
hex1823f3580

6480147840 has 64 divisors (see below), whose sum is σ = 20655477360. Its totient is φ = 1728038912.

The previous prime is 6480147781. The next prime is 6480147841. The reversal of 6480147840 is 487410846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6480147792 and 6480147801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6480147841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685619 + ... + 1689458.

Almost surely, 26480147840 is an apocalyptic number.

6480147840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6480147840 is an abundant number, since it is smaller than the sum of its proper divisors (14175329520).

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

6480147840 is a wasteful number, since it uses less digits than its factorization.

6480147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375099 (or 3375087 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 6480147840 is about 80499.3654633377. The cubic root of 6480147840 is about 1864.3536816513.

The spelling of 6480147840 in words is "six billion, four hundred eighty million, one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3375077 6750154 10125231 13500308 16875385 20250462 27000616 33750770 40500924 50626155 54001232 67501540 81001848 101252310 108002464 135003080 162003696 202504620 216004928 270006160 324007392 405009240 432009856 540012320 648014784 810018480 1080024640 1296029568 1620036960 2160049280 3240073920 6480147840