Search a number
-
+
94409009280 = 2732516390453
BaseRepresentation
bin101011111101100110…
…1110010100010000000
3100000200112012120211100
41113323031302202000
53021322201244110
6111212040414400
76551354224005
oct1277315624200
9300615176740
1094409009280
1137047474013
1216369477400
138b973bac01
1447d86bd8ac
1526c8494bc0
hex15fb372880

94409009280 has 96 divisors (see below), whose sum is σ = 326006130060. Its totient is φ = 25175734272.

The previous prime is 94409009263. The next prime is 94409009281. The reversal of 94409009280 is 8290090449.

It can be written as a sum of positive squares in 2 ways, for example, as 94239176256 + 169833024 = 306984^2 + 13032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×944090092802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (94409009281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8189467 + ... + 8200986.

Almost surely, 294409009280 is an apocalyptic number.

94409009280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

94409009280 is an abundant number, since it is smaller than the sum of its proper divisors (231597120780).

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

94409009280 is a wasteful number, since it uses less digits than its factorization.

94409009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16390478 (or 16390463 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 94409009280 in words is "ninety-four billion, four hundred nine million, nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 16390453 32780906 49171359 65561812 81952265 98342718 131123624 147514077 163904530 196685436 245856795 262247248 295028154 327809060 393370872 491713590 524494496 590056308 655618120 737570385 786741744 983427180 1048988992 1180112616 1311236240 1475140770 1573483488 1966854360 2097977984 2360225232 2622472480 2950281540 3146966976 3933708720 4720450464 5244944960 5900563080 6293933952 7867417440 9440900928 10489889920 11801126160 15734834880 18881801856 23602252320 31469669760 47204504640 94409009280