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94340493216 = 25321632009639
BaseRepresentation
bin101011111011100100…
…0011010111110100000
3100000111202021121110100
41113313020122332200
53021202131240331
6111201152102400
76546562650504
oct1276710327640
9300452247410
1094340493216
1137011826972
121634a534a00
138b8614b968
1447cd566304
1526c245dae6
hex15f721afa0

94340493216 has 72 divisors (see below), whose sum is σ = 269926806240. Its totient is φ = 31253890176.

The previous prime is 94340493187. The next prime is 94340493217. The reversal of 94340493216 is 61239404349.

94340493216 is a `hidden beast` number, since 9 + 4 + 340 + 4 + 93 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (94340493217) 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, 957876 + ... + 1051763.

It is an arithmetic number, because the mean of its divisors is an integer number (3748983420).

Almost surely, 294340493216 is an apocalyptic number.

94340493216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

94340493216 is an abundant number, since it is smaller than the sum of its proper divisors (175586313024).

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

94340493216 is a wasteful number, since it uses less digits than its factorization.

94340493216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009818 (or 2009807 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 94340493216 in words is "ninety-four billion, three hundred forty million, four hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 46944 2009639 4019278 6028917 8038556 12057834 16077112 18086751 24115668 32154224 36173502 48231336 64308448 72347004 96462672 144694008 192925344 289388016 327571157 578776032 655142314 982713471 1310284628 1965426942 2620569256 2948140413 3930853884 5241138512 5896280826 7861707768 10482277024 11792561652 15723415536 23585123304 31446831072 47170246608 94340493216