Search a number
-
+
55765559520 = 253251110933221
BaseRepresentation
bin110011111011111000…
…101110100011100000
312022221101201221102100
4303323320232203200
51403201440401040
641341321250400
74012631302116
oct637370564340
9168841657370
1055765559520
1121717228280
12a983933a00
1353493b32c8
1429b0353ab6
1516b5b1db30
hexcfbe2e8e0

55765559520 has 288 divisors, whose sum is σ = 207854416224. Its totient is φ = 13502361600.

The previous prime is 55765559503. The next prime is 55765559533. The reversal of 55765559520 is 2595556755.

It is a happy number.

55765559520 is a `hidden beast` number, since 5 + 5 + 7 + 65 + 5 + 59 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17311510 + ... + 17314730.

It is an arithmetic number, because the mean of its divisors is an integer number (721716723).

Almost surely, 255765559520 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 55765559520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103927208112).

55765559520 is an abundant number, since it is smaller than the sum of its proper divisors (152088856704).

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

55765559520 is a wasteful number, since it uses less digits than its factorization.

55765559520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 11812500, while the sum is 54.

The spelling of 55765559520 in words is "fifty-five billion, seven hundred sixty-five million, five hundred fifty-nine thousand, five hundred twenty".