Search a number
-
+
94563630144 = 263442712
BaseRepresentation
bin101100000010001101…
…1100111110001000000
3100001002022011010210000
41120010123213301000
53022131242131034
6111235242440000
76555242410464
oct1300433476100
9301068133700
1094563630144
1137116781a55
12163b1203000
138bc0447149
14481104c4a4
1526d6d38599
hex16046e7c40

94563630144 has 105 divisors (see below), whose sum is σ = 280381871671. Its totient is φ = 31513829760.

The previous prime is 94563630137. The next prime is 94563630169. The reversal of 94563630144 is 44103636549.

The square root of 94563630144 is 307512.

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

94563630144 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 3 + 630 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×945636301442 (a number of 23 digits) contains 22 as substring.

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 94563630144.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22138729 + ... + 22142999.

Almost surely, 294563630144 is an apocalyptic number.

94563630144 is the 307512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94563630144

94563630144 is an abundant number, since it is smaller than the sum of its proper divisors (185818241527).

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

94563630144 is an frugal number, since it uses more digits than its factorization.

94563630144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 94563630144 in words is "ninety-four billion, five hundred sixty-three million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4271 5184 8542 12813 17084 25626 34168 38439 51252 68336 76878 102504 115317 136672 153756 205008 230634 273344 307512 345951 410016 461268 615024 691902 820032 922536 1230048 1383804 1845072 2460096 2767608 3690144 5535216 7380288 11070432 18241441 22140864 36482882 54724323 72965764 109448646 145931528 164172969 218897292 291863056 328345938 437794584 492518907 583726112 656691876 875589168 985037814 1167452224 1313383752 1477556721 1751178336 1970075628 2626767504 2955113442 3502356672 3940151256 5253535008 5910226884 7880302512 10507070016 11820453768 15760605024 23640907536 31521210048 47281815072 94563630144