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55691347525632 = 2153272133173131
BaseRepresentation
bin11001010100110101001101…
…11111001000000000000000
321022012001002202121112211100
430222122212333020000000
524244421334431310012
6314240130222414400
714505365336246100
oct1452324677100000
9238161082545740
1055691347525632
1116821627898185
1262b5433731400
13250c8964a1a50
14da76930a5200
156689d6a078dc
hex32a6a6fc8000

55691347525632 has 2304 divisors, whose sum is σ = 212507947491840. Its totient is φ = 13912296652800.

The previous prime is 55691347525603. The next prime is 55691347525633. The reversal of 55691347525632 is 23652574319655.

55691347525632 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 1 + 3 + 47 + 525 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 55691347525632.

It is not an unprimeable number, because it can be changed into a prime (55691347525633) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 425124790207 + ... + 425124790337.

It is an arithmetic number, because the mean of its divisors is an integer number (92234352210).

Almost surely, 255691347525632 is an apocalyptic number.

55691347525632 is a gapful number since it is divisible by the number (52) 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 55691347525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106253973745920).

55691347525632 is an abundant number, since it is smaller than the sum of its proper divisors (156816599966208).

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

55691347525632 is a wasteful number, since it uses less digits than its factorization.

55691347525632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 260 counting only the distinct ones).

The product of its digits is 204120000, while the sum is 63.

The spelling of 55691347525632 in words is "fifty-five trillion, six hundred ninety-one billion, three hundred forty-seven million, five hundred twenty-five thousand, six hundred thirty-two".