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4540606709760 = 22239511
BaseRepresentation
bin100001000010011000101…
…0000000000000000000000
3121002002002200121000000000
41002010301100000000000
51043343130304203020
613353532000000000
7646022316136422
oct102046120000000
917062080530000
104540606709760
1114a072a129130
12614000000000
1326c23c903704
14119aa3542812
157d1a19bb090
hex42131400000

4540606709760 has 920 divisors, whose sum is σ = 17831896780896. Its totient is φ = 1100753141760.

The previous prime is 4540606709699. The next prime is 4540606709813. The reversal of 4540606709760 is 679076060454.

4540606709760 is a `hidden beast` number, since 4 + 540 + 6 + 0 + 6 + 7 + 0 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4540606709697 and 4540606709706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412782428155 + ... + 412782428165.

Almost surely, 24540606709760 is an apocalyptic number.

4540606709760 is a gapful number since it is divisible by the number (40) 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 4540606709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915948390448).

4540606709760 is an abundant number, since it is smaller than the sum of its proper divisors (13291290071136).

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

4540606709760 is an frugal number, since it uses more digits than its factorization.

4540606709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4540606709760 in words is "four trillion, five hundred forty billion, six hundred six million, seven hundred nine thousand, seven hundred sixty".