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20004316007760 = 2433578669152617
BaseRepresentation
bin1001000110001100111100…
…01001100100110101010000
32121211101122011210102021000
410203012132021210311100
510110222314344222020
6110313504513102000
74133156412335610
oct443063611446520
977741564712230
1020004316007760
1164128679695a7
1222b0b78b57900
13b21525519496
144d22dd550a40
1524a558c2d090
hex12319e264d50

20004316007760 has 320 divisors, whose sum is σ = 78756748531200. Its totient is φ = 4571857686528.

The previous prime is 20004316007759. The next prime is 20004316007761. The reversal of 20004316007760 is 6770061340002.

20004316007760 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 43 + 1 + 600 + 7 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20004316007759) and next prime (20004316007761).

It is a super-3 number, since 3×200043160077603 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004316007761) 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 63 ways as a sum of consecutive naturals, for example, 130998972 + ... + 131151588.

It is an arithmetic number, because the mean of its divisors is an integer number (246114839160).

Almost surely, 220004316007760 is an apocalyptic number.

20004316007760 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 20004316007760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39378374265600).

20004316007760 is an abundant number, since it is smaller than the sum of its proper divisors (58752432523440).

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

20004316007760 is a wasteful number, since it uses less digits than its factorization.

20004316007760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161315 (or 161303 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 20004316007760 its reverse (6770061340002), we get a palindrome (26774377347762).

The spelling of 20004316007760 in words is "twenty trillion, four billion, three hundred sixteen million, seven thousand, seven hundred sixty".