Search a number
-
+
55370518894080 = 2933513232679191
BaseRepresentation
bin11001001011011111101000…
…00111000001011000000000
321021001100222122221102001000
430211233310013001120000
524224142310314102310
6313432510515412000
714443250035004205
oct1445576407013000
9237040878842030
1055370518894080
11167085614557a5
1262632168b4000
1324b85573cc4b0
14d95d399bbcac
156604aa99c4c0
hex325bf41c1600

55370518894080 has 640 divisors, whose sum is σ = 221019193866240. Its totient is φ = 13037067141120.

The previous prime is 55370518894021. The next prime is 55370518894139. The reversal of 55370518894080 is 8049881507355.

55370518894080 is a `hidden beast` number, since 5 + 5 + 3 + 70 + 518 + 8 + 9 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55370518894021) and next prime (55370518894139).

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

It is a junction number, because it is equal to n+sod(n) for n = 55370518893999 and 55370518894017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19327285 + ... + 22006475.

It is an arithmetic number, because the mean of its divisors is an integer number (345342490416).

Almost surely, 255370518894080 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 55370518894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110509596933120).

55370518894080 is an abundant number, since it is smaller than the sum of its proper divisors (165648674972160).

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

55370518894080 is a wasteful number, since it uses less digits than its factorization.

55370518894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679259 (or 2679237 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 55370518894080 in words is "fifty-five trillion, three hundred seventy billion, five hundred eighteen million, eight hundred ninety-four thousand, eighty".