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995746532641 = 721425532
BaseRepresentation
bin11100111110101110001…
…11100100110100100001
310112012012021202220011221
432133113013210310201
5112303242103021031
62041234543535041
7131640345606400
oct16372707446441
93465167686157
10995746532641
11354325a5aa13
12140b955ba481
1372b8acbc453
14362a1593637
151ad7d124a11
hexe7d71e4d21

995746532641 has 9 divisors (see below), whose sum is σ = 1158325520691. Its totient is φ = 853491040752.

The previous prime is 995746532609. The next prime is 995746532663. The reversal of 995746532641 is 146235647599.

It is a happy number.

The square root of 995746532641 is 997871.

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., 258373973025 + 737372559616 = 508305^2 + 858704^2 .

It is not a de Polignac number, because 995746532641 - 25 = 995746532609 is a prime.

It is a super-2 number, since 2×9957465326412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 995746532641.

It is not an unprimeable number, because it can be changed into a prime (995746532741) 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, 6913821 + ... + 7056373.

Almost surely, 2995746532641 is an apocalyptic number.

995746532641 is the 997871-st square number.

995746532641 is the 498936-th centered octagonal number.

It is an amenable number.

995746532641 is a deficient number, since it is larger than the sum of its proper divisors (162578988050).

995746532641 is an frugal number, since it uses more digits than its factorization.

995746532641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285120 (or 142560 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 61.

The spelling of 995746532641 in words is "nine hundred ninety-five billion, seven hundred forty-six million, five hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 7 49 142553 997871 6985097 20321357809 142249504663 995746532641