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55504978337280 = 29351131813071151
BaseRepresentation
bin11001001111011010000101…
…00001000101111000000000
321021112020001101002211200210
430213231002201011320000
524233343143423243110
6314014345100114120
714456050051264533
oct1447550241057000
9237466041084623
1055504978337280
111675a59029457a
1262852a0b35940
1324c813514a6c4
14d9c653436a1a
15663c2a08c520
hex327b42845e00

55504978337280 has 640 divisors, whose sum is σ = 180745007579136. Its totient is φ = 14529134592000.

The previous prime is 55504978337191. The next prime is 55504978337287. The reversal of 55504978337280 is 8273387940555.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55504978337287) 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, 48223264705 + ... + 48223265855.

Almost surely, 255504978337280 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 55504978337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90372503789568).

55504978337280 is an abundant number, since it is smaller than the sum of its proper divisors (125240029241856).

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

55504978337280 is a wasteful number, since it uses less digits than its factorization.

55504978337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 66.

The spelling of 55504978337280 in words is "fifty-five trillion, five hundred four billion, nine hundred seventy-eight million, three hundred thirty-seven thousand, two hundred eighty".