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20456852939424 = 25321119339859997
BaseRepresentation
bin1001010011010111110110…
…11100111110001010100000
32200102122201020212102212200
410221223323130332022200
510140131113323030144
6111301425402053200
74210646612646606
oct451537334761240
980378636772780
1020456852939424
1165777801a2290
1223648127aa200
13b550c4387a25
1450a18cd49876
152571e2a8ec69
hex129afb73e2a0

20456852939424 has 144 divisors (see below), whose sum is σ = 66802881206880. Its totient is φ = 5872780730880.

The previous prime is 20456852939407. The next prime is 20456852939483. The reversal of 20456852939424 is 42493925865402.

20456852939424 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 68 + 529 + 3 + 9 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169869807 + ... + 169990190.

It is an arithmetic number, because the mean of its divisors is an integer number (463908897270).

Almost surely, 220456852939424 is an apocalyptic number.

20456852939424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20456852939424 is an abundant number, since it is smaller than the sum of its proper divisors (46346028267456).

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

20456852939424 is a wasteful number, since it uses less digits than its factorization.

20456852939424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339860043 (or 339860032 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 20456852939424 in words is "twenty trillion, four hundred fifty-six billion, eight hundred fifty-two million, nine hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 339859997 679719994 1019579991 1359439988 2039159982 2718879976 3058739973 3738459967 4078319964 5437759952 6117479946 6457339943 7476919934 8156639928 10875519904 11215379901 12234959892 12914679886 14953839868 16313279856 19372019829 22430759802 24469919784 25829359772 29907679736 32626559712 33646139703 38744039658 44861519604 48939839568 51658719544 58116059487 59815359472 67292279406 71030739373 77488079316 89723039208 97879679136 103317439088 116232118974 119630718944 134584558812 142061478746 154976158632 179446078416 206634878176 213092218119 232464237948 269169117624 284122957492 309952317264 358892156832 426184436238 464928475896 538338235248 568245914984 619904634528 639276654357 852368872476 929856951792 1076676470496 1136491829968 1278553308714 1704737744952 1859713903584 2272983659936 2557106617428 3409475489904 5114213234856 6818950979808 10228426469712 20456852939424