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20688040531104 = 2531289167184191
BaseRepresentation
bin1001011010000110011110…
…10011101001010010100000
32201020202110010002221021020
410231003033103221102200
510202423101333443404
6111555542110325440
74233442634031102
oct455031723512240
981222403087236
1020688040531104
1166568265a8741
1223a1592ab9880
13b70b48b0a65b
14517441095572
1525d224026ed9
hex12d0cf4e94a0

20688040531104 has 48 divisors (see below), whose sum is σ = 54348237135360. Its totient is φ = 6890663575040.

The previous prime is 20688040531091. The next prime is 20688040531141. The reversal of 20688040531104 is 40113504088602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83468352 + ... + 83715839.

It is an arithmetic number, because the mean of its divisors is an integer number (1132254940320).

Almost surely, 220688040531104 is an apocalyptic number.

20688040531104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20688040531104 is an abundant number, since it is smaller than the sum of its proper divisors (33660196604256).

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

20688040531104 is a wasteful number, since it uses less digits than its factorization.

20688040531104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167185493 (or 167185485 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 20688040531104 in words is "twenty trillion, six hundred eighty-eight billion, forty million, five hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1289 2578 3867 5156 7734 10312 15468 20624 30936 41248 61872 123744 167184191 334368382 501552573 668736764 1003105146 1337473528 2006210292 2674947056 4012420584 5349894112 8024841168 16049682336 215500422199 431000844398 646501266597 862001688796 1293002533194 1724003377592 2586005066388 3448006755184 5172010132776 6896013510368 10344020265552 20688040531104