Search a number
-
+
55669777920 = 2932547101509
BaseRepresentation
bin110011110110001011…
…010110011000000000
312022200201111201202200
4303312023112120000
51403002430343140
641324020313200
74010356206351
oct636613263000
9168621451680
1055669777920
1121678158129
12a957842800
1353325b88c3
1429a173dd28
1516ac4ee030
hexcf62d6600

55669777920 has 480 divisors, whose sum is σ = 199242426240. Its totient is φ = 14357299200.

The previous prime is 55669777913. The next prime is 55669777939. The reversal of 55669777920 is 2977796655.

55669777920 is a `hidden beast` number, since 556 + 6 + 9 + 7 + 7 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 109370626 + ... + 109371134.

It is an arithmetic number, because the mean of its divisors is an integer number (415088388).

Almost surely, 255669777920 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 55669777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99621213120).

55669777920 is an abundant number, since it is smaller than the sum of its proper divisors (143572648320).

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

55669777920 is a wasteful number, since it uses less digits than its factorization.

55669777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 55669777920 in words is "fifty-five billion, six hundred sixty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".