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21242559375072 = 253373512327939
BaseRepresentation
bin1001101010001111010110…
…01101001010011011100000
32210012202202111010212201000
410311013223031022123200
510241014230200000242
6113102410321512000
74321503265316430
oct465075315123340
983182674125630
1021242559375072
11684aa11a7a582
122470b4a1a2600
13bb121ac6bac9
14536206c1c2c0
1526c87b0b1a4c
hex1351eb34a6e0

21242559375072 has 96 divisors (see below), whose sum is σ = 70808531270400. Its totient is φ = 6069302676864.

The previous prime is 21242559375031. The next prime is 21242559375073. The reversal of 21242559375072 is 27057395524212.

21242559375072 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 2 + 559 + 37 + 50 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242559375073) 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, 1756157922 + ... + 1756170017.

It is an arithmetic number, because the mean of its divisors is an integer number (737588867400).

Almost surely, 221242559375072 is an apocalyptic number.

It is an amenable number.

21242559375072 is an abundant number, since it is smaller than the sum of its proper divisors (49565971895328).

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

21242559375072 is a wasteful number, since it uses less digits than its factorization.

21242559375072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512327965 (or 3512327951 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 21242559375072 in words is "twenty-one trillion, two hundred forty-two billion, five hundred fifty-nine million, three hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 3512327939 7024655878 10536983817 14049311756 21073967634 24586295573 28098623512 31610951451 42147935268 49172591146 56197247024 63221902902 73758886719 84295870536 94832854353 98345182292 112394494048 126443805804 147517773438 168591741072 189665708706 196690364584 221276660157 252887611608 295035546876 337183482144 379331417412 393380729168 442553320314 505775223216 590071093752 663829980471 758662834824 786761458336 885106640628 1011550446432 1180142187504 1327659960942 1517325669648 1770213281256 2360284375008 2655319921884 3034651339296 3540426562512 5310639843768 7080853125024 10621279687536 21242559375072