Search a number
-
+
95020332448 = 2561149326701
BaseRepresentation
bin101100001111110100…
…1110011010110100000
3100002021010112000120011
41120133221303112200
53024100201114243
6111352435254304
76602456333206
oct1303751632640
9302233460504
1095020332448
1137330556178
12164ba14a394
138c63c4c6b2
144855973076
152711e9c89d
hex161fa735a0

95020332448 has 48 divisors (see below), whose sum is σ = 191414701800. Its totient is φ = 46417536000.

The previous prime is 95020332427. The next prime is 95020332499. The reversal of 95020332448 is 84423302059.

It can be written as a sum of positive squares in 4 ways, for example, as 34273857424 + 60746475024 = 185132^2 + 246468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 95020332448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127498 + ... + 454198.

Almost surely, 295020332448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95020332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95707350900).

95020332448 is an abundant number, since it is smaller than the sum of its proper divisors (96394369352).

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

95020332448 is a wasteful number, since it uses less digits than its factorization.

95020332448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326921 (or 326913 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 95020332448 in words is "ninety-five billion, twenty million, three hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 122 149 244 298 488 596 976 1192 1952 2384 4768 9089 18178 36356 72712 145424 290848 326701 653402 1306804 2613608 5227216 10454432 19928761 39857522 48678449 79715044 97356898 159430088 194713796 318860176 389427592 637720352 778855184 1557710368 2969385389 5938770778 11877541556 23755083112 47510166224 95020332448