Search a number
-
+
94918096208 = 24131737017253
BaseRepresentation
bin101100001100110001…
…1110011010101010000
3100002000000010212210202
41120121203303111100
53023343013034313
6111334344114332
76600105335315
oct1303143632520
9302000125722
1094918096208
1137288877611
121648ba659a8
138c48a05090
14484615cd0c
152708005558
hex16198f3550

94918096208 has 80 divisors (see below), whose sum is σ = 209785854096. Its totient is φ = 41214566400.

The previous prime is 94918096127. The next prime is 94918096213. The reversal of 94918096208 is 80269081949.

It can be written as a sum of positive squares in 8 ways, for example, as 49168144 + 94868928064 = 7012^2 + 308008^2 .

It is a super-2 number, since 2×949180962082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13083110 + ... + 13090362.

Almost surely, 294918096208 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 94918096208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104892927048).

94918096208 is an abundant number, since it is smaller than the sum of its proper divisors (114867757888).

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

94918096208 is a wasteful number, since it uses less digits than its factorization.

94918096208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 56.

The spelling of 94918096208 in words is "ninety-four billion, nine hundred eighteen million, ninety-six thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 3701 7253 7402 14506 14804 29012 29608 48113 58024 59216 62917 94289 96226 116048 123301 125834 188578 192452 246602 251668 377156 384904 493204 503336 754312 769808 817921 986408 1006672 1508624 1602913 1635842 1972816 3205826 3271684 6411652 6543368 12823304 13086736 25646608 26843353 53686706 107373412 214746824 348963589 429493648 456337001 697927178 912674002 1395854356 1825348004 2791708712 3650696008 5583417424 5932381013 7301392016 11864762026 23729524052 47459048104 94918096208