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63035140624 = 2423227292
BaseRepresentation
bin111010101101001011…
…111110101000010000
320000201000201220221221
4322231023332220100
52013043443444444
644542525454424
74361032566121
oct725513765020
9200630656857
1063035140624
112480776a145
1210272411414
135c374c64a1
14309da06048
15198de38a84
hexead2fea10

63035140624 has 45 divisors (see below), whose sum is σ = 127718281453. Its totient is φ = 30136194176.

The previous prime is 63035140589. The next prime is 63035140657. The reversal of 63035140624 is 42604153036.

The square root of 63035140624 is 251068.

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., 60746475024 + 2288665600 = 246468^2 + 47840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63035140624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23096892 + ... + 23099620.

Almost surely, 263035140624 is an apocalyptic number.

63035140624 is the 251068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63035140624

63035140624 is an abundant number, since it is smaller than the sum of its proper divisors (64683140829).

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

63035140624 is an frugal number, since it uses more digits than its factorization.

63035140624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 63035140624 in words is "sixty-three billion, thirty-five million, one hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 2729 4232 5458 8464 10916 21832 43664 62767 125534 251068 502136 1004272 1443641 2887282 5774564 7447441 11549128 14894882 23098256 29789764 59579528 119159056 171291143 342582286 685164572 1370329144 2740658288 3939696289 7879392578 15758785156 31517570312 63035140624