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55980147852288 = 210371117133673
BaseRepresentation
bin11001011101001111001001…
…10100111100010000000000
321100012122112202101020000000
430232213210310330100000
524314134320322233123
6315020531440000000
714535301151441532
oct1456474464742000
9240178482336000
1055980147852288
11169230580770a0
1263413b2300000
132530b9cc045ba
14db764c9db852
1567128ad34b43
hex32e9e4d3c400

55980147852288 has 704 divisors, whose sum is σ = 193861862749440. Its totient is φ = 15965698129920.

The previous prime is 55980147852283. The next prime is 55980147852319. The reversal of 55980147852288 is 88225874108955.

55980147852288 is a `hidden beast` number, since 5 + 5 + 9 + 8 + 0 + 14 + 7 + 8 + 522 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is not an unprimeable number, because it can be changed into a prime (55980147852283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418717420 + ... + 418851092.

Almost surely, 255980147852288 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 55980147852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96930931374720).

55980147852288 is an abundant number, since it is smaller than the sum of its proper divisors (137881714897152).

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

55980147852288 is a wasteful number, since it uses less digits than its factorization.

55980147852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133742 (or 133706 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 55980147852288 in words is "fifty-five trillion, nine hundred eighty billion, one hundred forty-seven million, eight hundred fifty-two thousand, two hundred eighty-eight".