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48269847616 = 262929472
BaseRepresentation
bin101100111101000110…
…110110110001000000
311121121000020022201221
4230331012312301000
51242324040110431
634101434204424
73326112635464
oct547506666100
9147530208657
1048269847616
1119520085a51
129431583714
134723497013
14249ca3a4a4
1513c7a37111
hexb3d1b6c40

48269847616 has 63 divisors (see below), whose sum is σ = 99307186069. Its totient is φ = 23278078208.

The previous prime is 48269847611. The next prime is 48269847623. The reversal of 48269847616 is 61674896284.

The square root of 48269847616 is 219704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25311537216 + 22958310400 = 159096^2 + 151520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48269847611) 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 8 ways as a sum of consecutive naturals, for example, 50970855 + ... + 50971801.

Almost surely, 248269847616 is an apocalyptic number.

48269847616 is the 219704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48269847616

48269847616 is an abundant number, since it is smaller than the sum of its proper divisors (51037338453).

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

48269847616 is an frugal number, since it uses more digits than its factorization.

48269847616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 978 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 61.

The spelling of 48269847616 in words is "forty-eight billion, two hundred sixty-nine million, eight hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 947 1682 1856 1894 3364 3788 6728 7576 13456 15152 26912 27463 30304 53824 54926 60608 109852 219704 439408 796427 878816 896809 1592854 1757632 1793618 3185708 3587236 6371416 7174472 12742832 14348944 25485664 26007461 28697888 50971328 52014922 57395776 104029844 208059688 416119376 754216369 832238752 1508432738 1664477504 3016865476 6033730952 12067461904 24134923808 48269847616