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94385971729 = 72438892
BaseRepresentation
bin101011111100111010…
…1111010001000010001
3100000121220212011020201
41113321311322020101
53021300302043404
6111205454535201
76550654344100
oct1277165721021
9300556764221
1094385971729
1137035469615
1216361807501
138b926b301a
1447d5604037
1526c6443ca4
hex15f9d7a211

94385971729 has 9 divisors (see below), whose sum is σ = 109798428027. Its totient is φ = 80900418144.

The previous prime is 94385971709. The next prime is 94385971751. The reversal of 94385971729 is 92717958349.

The square root of 94385971729 is 307223.

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., 89086131729 + 5299840000 = 298473^2 + 72800^2 .

It is not a de Polignac number, because 94385971729 - 27 = 94385971601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94385971709) 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, 2128617 + ... + 2172505.

Almost surely, 294385971729 is an apocalyptic number.

94385971729 is the 307223-rd square number.

94385971729 is the 153612-nd centered octagonal number.

It is an amenable number.

94385971729 is a deficient number, since it is larger than the sum of its proper divisors (15412456298).

94385971729 is an frugal number, since it uses more digits than its factorization.

94385971729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87792 (or 43896 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 64.

Multiplying 94385971729 by its sum of digits (64), we get a square (6040702190656 = 24577842).

The spelling of 94385971729 in words is "ninety-four billion, three hundred eighty-five million, nine hundred seventy-one thousand, seven hundred twenty-nine".

Divisors: 1 7 49 43889 307223 2150561 1926244321 13483710247 94385971729