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20459276693440 = 26513172231395323
BaseRepresentation
bin1001010011011100010111…
…11010110110111111000000
32200102212222011120220022221
410221232023322312333000
510140201044313142230
6111302510103340424
74211063643346054
oct451561372667700
980385864526287
1020459276693440
116578804359582
12236518a451714
13b553bc56c6c0
1450a33cbcdc64
152572d575927a
hex129b8beb6fc0

20459276693440 has 672 divisors, whose sum is σ = 58586655536640. Its totient is φ = 6750512676864.

The previous prime is 20459276693437. The next prime is 20459276693483. The reversal of 20459276693440 is 4439667295402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3843558619 + ... + 3843563941.

It is an arithmetic number, because the mean of its divisors is an integer number (87182523120).

Almost surely, 220459276693440 is an apocalyptic number.

20459276693440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20459276693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293327768320).

20459276693440 is an abundant number, since it is smaller than the sum of its proper divisors (38127378843200).

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

20459276693440 is a wasteful number, since it uses less digits than its factorization.

20459276693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 61.

The spelling of 20459276693440 in words is "twenty trillion, four hundred fifty-nine billion, two hundred seventy-six million, six hundred ninety-three thousand, four hundred forty".