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55366295040 = 293357412791
BaseRepresentation
bin110011100100000101…
…101001111000000000
312021220120110012112000
4303210011221320000
51401342232420130
641233535504000
74000012512540
oct634405517000
9167816405460
1055366295040
1121531914a31
12a892088000
1352b476b734
142973301320
151690a53260
hexce4169e00

55366295040 has 640 divisors, whose sum is σ = 230325258240. Its totient is φ = 12342067200.

The previous prime is 55366294939. The next prime is 55366295053. The reversal of 55366295040 is 4059266355.

55366295040 is a `hidden beast` number, since 5 + 536 + 6 + 29 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19836045 + ... + 19838835.

It is an arithmetic number, because the mean of its divisors is an integer number (359883216).

Almost surely, 255366295040 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 55366295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115162629120).

55366295040 is an abundant number, since it is smaller than the sum of its proper divisors (174958963200).

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

55366295040 is a wasteful number, since it uses less digits than its factorization.

55366295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 55366295040 in words is "fifty-five billion, three hundred sixty-six million, two hundred ninety-five thousand, forty".