Search a number
-
+
96090080256 = 2103232292
BaseRepresentation
bin101100101111101101…
…0100100010000000000
3100012000200102211200100
41121133122210100000
53033243030032011
6112050531522400
76641126130402
oct1313732442000
9305020384610
1096090080256
113782a388575
1216758459400
1390a476a671
144917a78b72
152775d59d56
hex165f6a4400

96090080256 has 99 divisors (see below), whose sum is σ = 277543974981. Its totient is φ = 32020107264.

The previous prime is 96090080171. The next prime is 96090080321. The reversal of 96090080256 is 65208009069.

The square root of 96090080256 is 309984.

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., 28905440256 + 67184640000 = 170016^2 + 259200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29756850 + ... + 29760078.

Almost surely, 296090080256 is an apocalyptic number.

96090080256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96090080256 is the 309984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96090080256

96090080256 is an abundant number, since it is smaller than the sum of its proper divisors (181453894725).

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

96090080256 is an frugal number, since it uses more digits than its factorization.

96090080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 96090080256 in words is "ninety-six billion, ninety million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 3229 4608 6458 9216 9687 12916 19374 25832 29061 38748 51664 58122 77496 103328 116244 154992 206656 232488 309984 413312 464976 619968 826624 929952 1239936 1653248 1859904 2479872 3306496 3719808 4959744 7439616 9919488 10426441 14879232 20852882 29758464 31279323 41705764 62558646 83411528 93837969 125117292 166823056 187675938 250234584 333646112 375351876 500469168 667292224 750703752 1000938336 1334584448 1501407504 2001876672 2669168896 3002815008 4003753344 5338337792 6005630016 8007506688 10676675584 12011260032 16015013376 24022520064 32030026752 48045040128 96090080256