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94465251904 = 2610323732
BaseRepresentation
bin101011111111010010…
…0010101101001000000
3100000211110001000012111
41113332210111221000
53021431101030104
6111221410105104
76552636251452
oct1277644255100
9300743030174
1094465251904
1137076198a21
121638427b194
138ba5c5087a
144801d602d2
1526cd3a4404
hex15fe915a40

94465251904 has 63 divisors (see below), whose sum is σ = 189800946153. Its totient is φ = 46648657152.

The previous prime is 94465251901. The next prime is 94465251967. The reversal of 94465251904 is 40915256449.

It is a happy number.

The square root of 94465251904 is 307352.

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

It can be written as a sum of positive squares in only one way, i.e., 51347560000 + 43117691904 = 226600^2 + 207648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94465251901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 253257862 + ... + 253258234.

It is an arithmetic number, because the mean of its divisors is an integer number (3012713431).

Almost surely, 294465251904 is an apocalyptic number.

94465251904 is the 307352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94465251904

94465251904 is an abundant number, since it is smaller than the sum of its proper divisors (95335694249).

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

94465251904 is an frugal number, since it uses more digits than its factorization.

94465251904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 94465251904 by its sum of digits (49), we get a square (4628797343296 = 21514642).

The spelling of 94465251904 in words is "ninety-four billion, four hundred sixty-five million, two hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 103 206 373 412 746 824 1492 1648 2984 3296 5968 6592 10609 11936 21218 23872 38419 42436 76838 84872 139129 153676 169744 278258 307352 339488 556516 614704 678976 1113032 1229408 2226064 2458816 3957157 4452128 7914314 8904256 14330287 15828628 28660574 31657256 57321148 63314512 114642296 126629024 229284592 253258048 458569184 917138368 1476019561 2952039122 5904078244 11808156488 23616312976 47232625952 94465251904