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96246375696 = 243210322512
BaseRepresentation
bin101100110100010111…
…0110010010100010000
3100012102120112110201100
41121220232302110100
53034103033010241
6112114233504400
76645034460262
oct1315056622420
9305376473640
1096246375696
11378aa62a659
12167a0872100
1390cac61b83
144930721b32
15278492e9b6
hex1668bb2510

96246375696 has 135 divisors (see below), whose sum is σ = 273084643767. Its totient is φ = 31644072000.

The previous prime is 96246375649. The next prime is 96246375733. The reversal of 96246375696 is 69657364269.

It is a happy number.

The square root of 96246375696 is 310236.

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

96246375696 is a `hidden beast` number, since 9 + 6 + 2 + 4 + 63 + 7 + 569 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 383451571 + ... + 383451821.

Almost surely, 296246375696 is an apocalyptic number.

96246375696 is the 310236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96246375696

96246375696 is an abundant number, since it is smaller than the sum of its proper divisors (176838268071).

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

96246375696 is a wasteful number, since it uses less digits than its factorization.

96246375696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 96246375696 in words is "ninety-six billion, two hundred forty-six million, three hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 251 309 412 502 618 753 824 927 1004 1236 1506 1648 1854 2008 2259 2472 3012 3708 4016 4518 4944 6024 7416 9036 10609 12048 14832 18072 21218 25853 31827 36144 42436 51706 63001 63654 77559 84872 95481 103412 126002 127308 155118 169744 189003 190962 206824 232677 252004 254616 310236 378006 381924 413648 465354 504008 509232 567009 620472 756012 763848 930708 1008016 1134018 1240944 1512024 1527696 1861416 2268036 2662859 3024048 3722832 4536072 5325718 6489103 7988577 9072144 10651436 12978206 15977154 19467309 21302872 23965731 25956412 31954308 38934618 42605744 47931462 51912824 58401927 63908616 77869236 95862924 103825648 116803854 127817232 155738472 191725848 233607708 311476944 383451696 467215416 668377609 934430832 1336755218 2005132827 2673510436 4010265654 5347020872 6015398481 8020531308 10694041744 12030796962 16041062616 24061593924 32082125232 48123187848 96246375696