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312190742889 = 33192332611841
BaseRepresentation
bin1001000101100000000…
…01001011000101101001
31002211211002221221011000
410202300001023011221
520103331312233024
6355230215025213
731361243346654
oct4426001130551
91084732857130
10312190742889
11110443598923
125060806b209
132359365903c
141117821289b
1581c2a5acc9
hex48b004b169

312190742889 has 32 divisors (see below), whose sum is σ = 488936822400. Its totient is φ = 196326789120.

The previous prime is 312190742869. The next prime is 312190742893. The reversal of 312190742889 is 988247091213.

312190742889 is a `hidden beast` number, since 3 + 121 + 90 + 7 + 428 + 8 + 9 = 666.

It is not a de Polignac number, because 312190742889 - 27 = 312190742761 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312190742869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186392 + ... + 1425449.

It is an arithmetic number, because the mean of its divisors is an integer number (15279275700).

Almost surely, 2312190742889 is an apocalyptic number.

It is an amenable number.

312190742889 is a deficient number, since it is larger than the sum of its proper divisors (176746079511).

312190742889 is a wasteful number, since it uses less digits than its factorization.

312190742889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612102 (or 2612096 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 312190742889 in words is "three hundred twelve billion, one hundred ninety million, seven hundred forty-two thousand, eight hundred eighty-nine".

Divisors: 1 3 9 19 27 57 171 233 513 699 2097 4427 6291 13281 39843 119529 2611841 7835523 23506569 49624979 70519707 148874937 446624811 608558953 1339874433 1825676859 5477030577 11562620107 16431091731 34687860321 104063580963 312190742889