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12387631905 = 3251133477477
BaseRepresentation
bin10111000100101110…
…00100001100100001
31011222022111220100200
423202113010030201
5200332213210110
65405113535413
7615656063625
oct134227041441
934868456320
1012387631905
11528754a220
122498714569
13122556570c
148572c3185
154c77de6c0
hex2e25c4321

12387631905 has 48 divisors (see below), whose sum is σ = 23434017984. Its totient is φ = 6003527040.

The previous prime is 12387631901. The next prime is 12387631969. The reversal of 12387631905 is 50913678321.

12387631905 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 7 + 631 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 12387631905 - 22 = 12387631901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12387631901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653027 + ... + 1660503.

It is an arithmetic number, because the mean of its divisors is an integer number (488208708).

Almost surely, 212387631905 is an apocalyptic number.

12387631905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12387631905 is a deficient number, since it is larger than the sum of its proper divisors (11046386079).

12387631905 is a wasteful number, since it uses less digits than its factorization.

12387631905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12387631905 in words is "twelve billion, three hundred eighty-seven million, six hundred thirty-one thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 3347 7477 10041 16735 22431 30123 36817 37385 50205 67293 82247 110451 112155 150615 184085 246741 331353 336465 411235 552255 740223 1233705 1656765 3701115 25025519 75076557 125127595 225229671 275280709 375382785 825842127 1126148355 1376403545 2477526381 4129210635 12387631905