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20346513511312 = 2437329910418039
BaseRepresentation
bin1001010000001010010101…
…01101011101001110010000
32200001002220111202201200001
410220011022231131032100
510131324124424330222
6111135020445135344
74166662400203042
oct450051255351620
980032814681601
1020346513511312
1165349a949887a
12234735a25a554
13b4788b7668b1
14504ac2a4ba92
152543d5c9ae27
hex12814ab5d390

20346513511312 has 40 divisors (see below), whose sum is σ = 40499088696000. Its totient is φ = 9895302525312.

The previous prime is 20346513511301. The next prime is 20346513511319. The reversal of 20346513511312 is 21311531564302.

It is a super-2 number, since 2×203465135113122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (20346513511319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3256012 + ... + 7162027.

It is an arithmetic number, because the mean of its divisors is an integer number (1012477217400).

Almost surely, 220346513511312 is an apocalyptic number.

It is an amenable number.

20346513511312 is a deficient number, since it is larger than the sum of its proper divisors (20152575184688).

20346513511312 is a wasteful number, since it uses less digits than its factorization.

20346513511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421383 (or 10421377 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 20346513511312 in words is "twenty trillion, three hundred forty-six billion, five hundred thirteen million, five hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 37 74 148 296 592 3299 6598 13196 26392 52784 122063 244126 488252 976504 1953008 10418039 20836078 41672156 83344312 166688624 385467443 770934886 1541869772 3083739544 6167479088 34369110661 68738221322 137476442644 274952885288 549905770576 1271657094457 2543314188914 5086628377828 10173256755656 20346513511312