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20537312621280 = 25357133736611907
BaseRepresentation
bin1001010101101101101110…
…01110010011001011100000
32200201100101121221202211120
410222312313032103023200
510142440404012340110
6111402413340212240
74216525515653550
oct452666716231340
980640347852746
1020537312621280
1165a8909628124
12237832853a080
13b5c8777c9330
14510022b83160
152593515b0870
hex12adb73932e0

20537312621280 has 768 divisors, whose sum is σ = 79997750654976. Its totient is φ = 4312729681920.

The previous prime is 20537312621269. The next prime is 20537312621281. The reversal of 20537312621280 is 8212621373502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20537312621281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10769434087 + ... + 10769435993.

It is an arithmetic number, because the mean of its divisors is an integer number (104163737832).

Almost surely, 220537312621280 is an apocalyptic number.

20537312621280 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 20537312621280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39998875327488).

20537312621280 is an abundant number, since it is smaller than the sum of its proper divisors (59460438033696).

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

20537312621280 is a wasteful number, since it uses less digits than its factorization.

20537312621280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 20537312621280 its reverse (8212621373502), we get a palindrome (28749933994782).

The spelling of 20537312621280 in words is "twenty trillion, five hundred thirty-seven billion, three hundred twelve million, six hundred twenty-one thousand, two hundred eighty".