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13148727290433 = 3271371523430343
BaseRepresentation
bin1011111101010110110100…
…1110000010101001000001
31201120000011102010200211200
42333111231032002221001
53210412043141243213
643544235242331413
72524651501614210
oct277255516025101
951500142120750
1013148727290433
11420a386850359
12158438a1b9b69
13744bc5666497
1433658a75b077
1517c066667273
hexbf56d382a41

13148727290433 has 24 divisors (see below), whose sum is σ = 21864272297088. Its totient is φ = 7458714954432.

The previous prime is 13148727290431. The next prime is 13148727290459. The reversal of 13148727290433 is 33409272784131.

13148727290433 is a `hidden beast` number, since 1 + 3 + 1 + 487 + 2 + 72 + 90 + 4 + 3 + 3 = 666.

13148727290433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13148727290433 - 21 = 13148727290431 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13148727290433.

It is not an unprimeable number, because it can be changed into a prime (13148727290431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761706541 + ... + 761723802.

It is an arithmetic number, because the mean of its divisors is an integer number (911011345712).

Almost surely, 213148727290433 is an apocalyptic number.

It is an amenable number.

13148727290433 is a deficient number, since it is larger than the sum of its proper divisors (8715545006655).

13148727290433 is a wasteful number, since it uses less digits than its factorization.

13148727290433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523430493 (or 1523430490 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 13148727290433 in words is "thirteen trillion, one hundred forty-eight billion, seven hundred twenty-seven million, two hundred ninety thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 63 137 411 959 1233 2877 8631 1523430343 4570291029 10664012401 13710873087 31992037203 95976111609 208709956991 626129870973 1460969698937 1878389612919 4382909096811 13148727290433