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20514053762000 = 245319353145217
BaseRepresentation
bin1001010101000010011001…
…11000110010101111010000
32200122010100200022022001222
410222201030320302233100
510142100240230341000
6111344005354144212
74215043242633311
oct452411470625720
980563320268058
1020514053762000
116599a63603977
122373917122068
13b5a60bc151c6
1450cc57b50608
1525893e6bba85
hex12a84ce32bd0

20514053762000 has 80 divisors (see below), whose sum is σ = 49859993204112. Its totient is φ = 8163105177600.

The previous prime is 20514053761997. The next prime is 20514053762009. The reversal of 20514053762000 is 26735041502.

It can be written as a sum of positive squares in 8 ways, for example, as 5766549060496 + 14747504701504 = 2401364^2 + 3840248^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20514053762009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26186609 + ... + 26958608.

Almost surely, 220514053762000 is an apocalyptic number.

20514053762000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20514053762000 is an abundant number, since it is smaller than the sum of its proper divisors (29345939442112).

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

20514053762000 is a wasteful number, since it uses less digits than its factorization.

20514053762000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53145433 (or 53145417 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 20514053762000 in words is "twenty trillion, five hundred fourteen billion, fifty-three million, seven hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 386000 53145217 106290434 212580868 265726085 425161736 531452170 850323472 1062904340 1328630425 2125808680 2657260850 4251617360 5314521700 6643152125 10257026881 10629043400 13286304250 20514053762 21258086800 26572608500 41028107524 51285134405 53145217000 82056215048 102570268810 106290434000 164112430096 205140537620 256425672025 410281075240 512851344050 820562150480 1025702688100 1282128360125 2051405376200 2564256720250 4102810752400 5128513440500 10257026881000 20514053762000