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20402144132064 = 253521474075447
BaseRepresentation
bin1001010001110001111101…
…00011011011101111100000
32200020102111111121001220020
410220320332203123233200
510133232042344211224
6111220340550313440
74204002102524532
oct450707643335740
980212444531806
1020402144132064
116556556530602
1223560a4958880
13b4cbb5bc2476
1450767d0b7852
15255a8eb12c79
hex128e3e8dbbe0

20402144132064 has 48 divisors (see below), whose sum is σ = 53556668500608. Its totient is φ = 6800582627712.

The previous prime is 20402144132057. The next prime is 20402144132087. The reversal of 20402144132064 is 46023144120402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2968389 + ... + 7043835.

It is an arithmetic number, because the mean of its divisors is an integer number (1115763927096).

Almost surely, 220402144132064 is an apocalyptic number.

20402144132064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20402144132064 is an abundant number, since it is smaller than the sum of its proper divisors (33154524368544).

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

20402144132064 is a wasteful number, since it uses less digits than its factorization.

20402144132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127607 (or 4127599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 20402144132064 its reverse (46023144120402), we get a palindrome (66425288252466).

The spelling of 20402144132064 in words is "twenty trillion, four hundred two billion, one hundred forty-four million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 52147 104294 156441 208588 312882 417176 625764 834352 1251528 1668704 2503056 4075447 5006112 8150894 12226341 16301788 24452682 32603576 48905364 65207152 97810728 130414304 195621456 391242912 212522334709 425044669418 637567004127 850089338836 1275134008254 1700178677672 2550268016508 3400357355344 5100536033016 6800714710688 10201072066032 20402144132064