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50924240896 = 214412432
BaseRepresentation
bin101111011011010100…
…100100000000000000
311212102222221110210011
4233123110210000000
51313243101202041
635221055114304
73451643622424
oct573324440000
9155388843704
1050924240896
111a662451a01
129a52512994
134a573a2c29
14267139ab84
1514d0aade81
hexbdb524000

50924240896 has 135 divisors (see below), whose sum is σ = 106874125113. Its totient is φ = 24263393280.

The previous prime is 50924240831. The next prime is 50924240909. The reversal of 50924240896 is 69804242905.

The square root of 50924240896 is 225664.

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., 2453815296 + 48470425600 = 49536^2 + 220160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1184284651 + ... + 1184284693.

Almost surely, 250924240896 is an apocalyptic number.

50924240896 is the 225664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50924240896

50924240896 is an abundant number, since it is smaller than the sum of its proper divisors (55949884217).

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

50924240896 is an frugal number, since it uses more digits than its factorization.

50924240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 50924240896 by its sum of digits (49), we get a square (2495287803904 = 15796482).

The spelling of 50924240896 in words is "fifty billion, nine hundred twenty-four million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 256 328 344 512 656 688 1024 1312 1376 1681 1763 1849 2048 2624 2752 3362 3526 3698 4096 5248 5504 6724 7052 7396 8192 10496 11008 13448 14104 14792 16384 20992 22016 26896 28208 29584 41984 44032 53792 56416 59168 72283 75809 83968 88064 107584 112832 118336 144566 151618 167936 176128 215168 225664 236672 289132 303236 335872 352256 430336 451328 473344 578264 606472 671744 704512 860672 902656 946688 1156528 1212944 1721344 1805312 1893376 2313056 2425888 3108169 3442688 3610624 3786752 4626112 4851776 6216338 6885376 7221248 7573504 9252224 9703552 12432676 13770752 14442496 15147008 18504448 19407104 24865352 27541504 28884992 30294016 37008896 38814208 49730704 74017792 77628416 99461408 148035584 155256832 198922816 296071168 310513664 397845632 592142336 621027328 795691264 1184284672 1242054656 1591382528 3182765056 6365530112 12731060224 25462120448 50924240896