Search a number
-
+
55711681920 = 27325172329853
BaseRepresentation
bin110011111000101011…
…001100110110000000
312022210122100200020200
4303320223030312000
51403044142310140
641332114405200
74011405324426
oct637053146600
9168718320220
1055711681920
1121699879234
12a969890800
13533b19ac7b
1429a712b116
1516b102a030
hexcf8accd80

55711681920 has 768 divisors, whose sum is σ = 220139337600. Its totient is φ = 12898271232.

The previous prime is 55711681919. The next prime is 55711681939. The reversal of 55711681920 is 2918611755.

55711681920 is a `hidden beast` number, since 5 + 571 + 1 + 68 + 19 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65312214 + ... + 65313066.

Almost surely, 255711681920 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 55711681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110069668800).

55711681920 is an abundant number, since it is smaller than the sum of its proper divisors (164427655680).

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

55711681920 is a wasteful number, since it uses less digits than its factorization.

55711681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 55711681920 in words is "fifty-five billion, seven hundred eleven million, six hundred eighty-one thousand, nine hundred twenty".