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10188313474332 = 2237757233968501
BaseRepresentation
bin1001010001000010011011…
…0011100011010100011100
31100001222211002020220220210
42110100212303203110130
52313411131222134312
633400240244212420
72101036622434020
oct224204663432434
940058732226823
1010188313474332
113278926390544
12118669169a110
1358b9a524aa46
1427318d0b2380
1512a04c417e3c
hex94426ce351c

10188313474332 has 96 divisors (see below), whose sum is σ = 27216754306560. Its totient is φ = 2905816032000.

The previous prime is 10188313474307. The next prime is 10188313474429. The reversal of 10188313474332 is 23347431388101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148698082 + ... + 148766582.

It is an arithmetic number, because the mean of its divisors is an integer number (283507857360).

Almost surely, 210188313474332 is an apocalyptic number.

10188313474332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10188313474332 is an abundant number, since it is smaller than the sum of its proper divisors (17028440832228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10188313474332 is a wasteful number, since it uses less digits than its factorization.

10188313474332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71611 (or 71609 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10188313474332 in words is "ten trillion, one hundred eighty-eight billion, three hundred thirteen million, four hundred seventy-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 757 1514 2271 2339 3028 4542 4678 5299 7017 9084 9356 10598 14034 15897 16373 21196 28068 31794 32746 49119 63588 65492 68501 98238 137002 196476 205503 274004 411006 479507 822012 959014 1438521 1770623 1918028 2877042 3541246 5311869 5754084 7082492 10623738 12394361 21247476 24788722 37183083 49577444 51855257 74366166 103710514 148732332 155565771 160223839 207421028 311131542 320447678 362986799 480671517 622263084 640895356 725973598 961343034 1088960397 1121566873 1451947196 1922686068 2177920794 2243133746 3364700619 4355841588 4486267492 6729401238 13458802476 121289446123 242578892246 363868338369 485157784492 727736676738 849026122861 1455473353476 1698052245722 2547078368583 3396104491444 5094156737166 10188313474332