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9850496102500 = 225441215312
BaseRepresentation
bin1000111101010111111101…
…0100100011000001100100
31021212200212000021100122111
42033111333110203001210
52242342304000240000
632541131101410404
72034450322235104
oct217257724430144
937780760240574
109850496102500
113158632280039
121131113269a04
13565b895c8151
14260aa35db204
15121379babcba
hex8f57f523064

9850496102500 has 135 divisors (see below), whose sum is σ = 22093702028013. Its totient is φ = 3841585200000.

The previous prime is 9850496102483. The next prime is 9850496102501. The reversal of 9850496102500 is 52016940589.

The square root of 9850496102500 is 3138550.

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

9850496102500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 9812092645476 + 38403457024 = 3132426^2 + 195968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9850496102501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6434026735 + ... + 6434028265.

Almost surely, 29850496102500 is an apocalyptic number.

9850496102500 is the 3138550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9850496102500

9850496102500 is an abundant number, since it is smaller than the sum of its proper divisors (12243205925513).

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

9850496102500 is an frugal number, since it uses more digits than its factorization.

9850496102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 9850496102500 by its sum of digits (49), we get a square (482674309022500 = 219698502).

The spelling of 9850496102500 in words is "nine trillion, eight hundred fifty billion, four hundred ninety-six million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 625 820 1025 1250 1531 1681 2050 2500 3062 3362 4100 5125 6124 6724 7655 8405 10250 15310 16810 20500 25625 30620 33620 38275 42025 51250 62771 76550 84050 102500 125542 153100 168100 191375 210125 251084 313855 382750 420250 627710 765500 840500 956875 1050625 1255420 1569275 1913750 2101250 2343961 2573611 3138550 3827500 4202500 4687922 5147222 6277100 7846375 9375844 10294444 11719805 12868055 15692750 23439610 25736110 31385500 39231875 46879220 51472220 58599025 64340275 78463750 96102401 117198050 128680550 156927500 192204802 234396100 257361100 292995125 321701375 384409604 480512005 585990250 643402750 961024010 1171980500 1286805500 1464975625 1608506875 1922048020 2402560025 2929951250 3217013750 3940198441 4805120050 5859902500 6434027500 7880396882 9610240100 12012800125 15760793764 19700992205 24025600250 39401984410 48051200500 60064000625 78803968820 98504961025 120128001250 197009922050 240256002500 394019844100 492524805125 985049610250 1970099220500 2462624025625 4925248051250 9850496102500