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20437479186432 = 2133741123372
BaseRepresentation
bin1001010010110011110001…
…01011111110000000000000
32200100210201001201211000120
410221121320223332000000
510134321424132431212
6111244503123220240
74206362533530000
oct451317053760000
980323631654016
1020437479186432
11656a539218980
122360b06517680
13b53327668669
14509271cc0000
1525695bcc888c
hex129678afe000

20437479186432 has 1680 divisors, whose sum is σ = 74379476368512. Its totient is φ = 4940401213440.

The previous prime is 20437479186407. The next prime is 20437479186437. The reversal of 20437479186432 is 23468197473402.

It is a super-2 number, since 2×204374791864322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20437479186437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 552364302318 + ... + 552364302354.

Almost surely, 220437479186432 is an apocalyptic number.

20437479186432 is a gapful number since it is divisible by the number (22) 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 20437479186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37189738184256).

20437479186432 is an abundant number, since it is smaller than the sum of its proper divisors (53941997182080).

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

20437479186432 is an frugal number, since it uses more digits than its factorization.

20437479186432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 20437479186432 in words is "twenty trillion, four hundred thirty-seven billion, four hundred seventy-nine million, one hundred eighty-six thousand, four hundred thirty-two".