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20593347037120 = 26511213210131159
BaseRepresentation
bin1001010111010110000110…
…01000101000011111000000
32200220201000202121000210101
410223223003020220133000
510144400133320141440
6111444241504212144
74223551223434444
oct453530310503700
980821022530711
1020593347037120
11661a653598100
12238716630a054
13b64c377c4a00
14512a1aac0824
1525aa30ada69a
hex12bac32287c0

20593347037120 has 504 divisors, whose sum is σ = 58946133425760. Its totient is φ = 6843792384000.

The previous prime is 20593347037097. The next prime is 20593347037121. The reversal of 20593347037120 is 2173074339502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20593347037121) 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 71 ways as a sum of consecutive naturals, for example, 660896101 + ... + 660927259.

It is an arithmetic number, because the mean of its divisors is an integer number (116956613940).

Almost surely, 220593347037120 is an apocalyptic number.

20593347037120 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 20593347037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29473066712880).

20593347037120 is an abundant number, since it is smaller than the sum of its proper divisors (38352786388640).

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

20593347037120 is a wasteful number, since it uses less digits than its factorization.

20593347037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31325 (or 31291 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 20593347037120 in words is "twenty trillion, five hundred ninety-three billion, three hundred forty-seven million, thirty-seven thousand, one hundred twenty".