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20402540407712 = 2529521284314843
BaseRepresentation
bin1001010001110010101100…
…01011000110101110100000
32200020110112010020221220002
410220321112023012232200
510133233400321021322
6111220444144035132
74204014654025241
oct450712613065640
980213463227802
1020402540407712
11655673a192341
122356195602aa8
13b4cc4a02b7b8
145076b998ccc8
15255ab47dcc92
hex128e562c6ba0

20402540407712 has 96 divisors (see below), whose sum is σ = 41649792770880. Its totient is φ = 9826477373440.

The previous prime is 20402540407679. The next prime is 20402540407729. The reversal of 20402540407712 is 21770404520402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374548963 + ... + 1374563805.

It is an arithmetic number, because the mean of its divisors is an integer number (433852008030).

Almost surely, 220402540407712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20402540407712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20824896385440).

20402540407712 is an abundant number, since it is smaller than the sum of its proper divisors (21247252363168).

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

20402540407712 is a wasteful number, since it uses less digits than its factorization.

20402540407712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

The spelling of 20402540407712 in words is "twenty trillion, four hundred two billion, five hundred forty million, four hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 521 928 1042 2084 2843 4168 5686 8336 11372 14843 15109 16672 22744 29686 30218 45488 59372 60436 82447 90976 118744 120872 164894 237488 241744 329788 430447 474976 483488 659576 860894 1319152 1481203 1721788 2638304 2962406 3443576 5924812 6887152 7733203 11849624 13774304 15466406 23699248 30932812 42198649 42954887 47398496 61865624 84397298 85909774 123731248 168794596 171819548 224262887 247462496 337589192 343639096 448525774 675178384 687278192 897051548 1223760821 1350356768 1374556384 1794103096 2447521642 3588206192 4895043284 7176412384 9790086568 19580173136 21985496129 39160346272 43970992258 87941984516 175883969032 351767938064 637579387741 703535876128 1275158775482 2550317550964 5100635101928 10201270203856 20402540407712