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55695148719840 = 25375733114969
BaseRepresentation
bin11001010100111100010011…
…00011100001111011100000
321022012101220200020020000000
430222132021203201323200
524300002131033013330
6314241555331300000
714505561464001000
oct1452361143417340
9238171820206000
1055695148719840
11168231a85346a3
1262b611474a600
132510050b668a6
14da7933c68000
15668b5a5ac560
hex32a7898e1ee0

55695148719840 has 1536 divisors, whose sum is σ = 237573181440000. Its totient is φ = 12318841221120.

The previous prime is 55695148719811. The next prime is 55695148719851. The reversal of 55695148719840 is 4891784159655.

55695148719840 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 51 + 487 + 1 + 98 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3720691876 + ... + 3720706844.

It is an arithmetic number, because the mean of its divisors is an integer number (154670040000).

Almost surely, 255695148719840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55695148719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118786590720000).

55695148719840 is an abundant number, since it is smaller than the sum of its proper divisors (181878032720160).

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

55695148719840 is an equidigital number, since it uses as much as digits as its factorization.

55695148719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15057 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 55695148719840 in words is "fifty-five trillion, six hundred ninety-five billion, one hundred forty-eight million, seven hundred nineteen thousand, eight hundred forty".