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5648129820 = 22325107293257
BaseRepresentation
bin1010100001010011…
…11001111100011100
3112120121221201112100
411100221321330130
543031410123240
62332243005100
7256652211534
oct52051717434
915517851470
105648129820
112439249593
121117669790
136c0209568
143b81b64c4
15230ccee30
hex150a79f1c

5648129820 has 72 divisors (see below), whose sum is σ = 17292837744. Its totient is φ = 1492086528.

The previous prime is 5648129761. The next prime is 5648129821. The reversal of 5648129820 is 289218465.

5648129820 is a `hidden beast` number, since 564 + 8 + 1 + 2 + 9 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648129821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127369 + ... + 165888.

It is an arithmetic number, because the mean of its divisors is an integer number (240178302).

Almost surely, 25648129820 is an apocalyptic number.

It is an amenable number.

5648129820 is an abundant number, since it is smaller than the sum of its proper divisors (11644707924).

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

5648129820 is a wasteful number, since it uses less digits than its factorization.

5648129820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293379 (or 293374 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5648129820 is about 75154.0406099366. The cubic root of 5648129820 is about 1780.8809572675.

The spelling of 5648129820 in words is "five billion, six hundred forty-eight million, one hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 293257 586514 879771 1173028 1466285 1759542 2639313 2932570 3519084 4398855 5278626 5865140 8797710 10557252 13196565 17595420 26393130 31378499 52786260 62756998 94135497 125513996 156892495 188270994 282406491 313784990 376541988 470677485 564812982 627569980 941354970 1129625964 1412032455 1882709940 2824064910 5648129820