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9977412769 = 59216932
BaseRepresentation
bin10010100101011001…
…10011110010100001
3221202100021002021021
421102230303302201
5130413204202034
64330014325441
7502151415652
oct112254636241
927670232237
109977412769
11425aa97985
121b254b9881
13c3010c54c
146a9163529
153d5dea6b4
hex252b33ca1

9977412769 has 9 divisors (see below), whose sum is σ = 10155386163. Its totient is φ = 9802510632.

The previous prime is 9977412749. The next prime is 9977412817. The reversal of 9977412769 is 9672147799.

The square root of 9977412769 is 99887.

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., 3801339025 + 6176073744 = 61655^2 + 78588^2 .

It is not a de Polignac number, because 9977412769 - 25 = 9977412737 is a prime.

It is a super-2 number, since 2×99774127692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9977412749) 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, 5892487 + ... + 5894179.

Almost surely, 29977412769 is an apocalyptic number.

9977412769 is the 99887-th square number.

9977412769 is the 49944-th centered octagonal number.

It is an amenable number.

9977412769 is a deficient number, since it is larger than the sum of its proper divisors (177973394).

9977412769 is an frugal number, since it uses more digits than its factorization.

9977412769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 1752 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 61.

The cubic root of 9977412769 is about 2152.8113767454.

The spelling of 9977412769 in words is "nine billion, nine hundred seventy-seven million, four hundred twelve thousand, seven hundred sixty-nine".

Divisors: 1 59 1693 3481 99887 2866249 5893333 169108691 9977412769