Search a number
-
+
55315604736 = 2832719117957
BaseRepresentation
bin110011100001000100…
…010010010100000000
312021210001001212111100
4303201010102110000
51401241243322421
641224525214400
73665525611440
oct634104222400
9167701055440
1055315604736
1121506242617
12a879101400
1352a7101082
14296a6a8120
15168b38dc26
hexce1112500

55315604736 has 216 divisors, whose sum is σ = 183237110784. Its totient is φ = 15720837120.

The previous prime is 55315604713. The next prime is 55315604741. The reversal of 55315604736 is 63740651355.

55315604736 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 5 + 604 + 7 + 36 = 666.

It is a super-2 number, since 2×553156047362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55315604691 and 55315604700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3071470 + ... + 3089426.

Almost surely, 255315604736 is an apocalyptic number.

55315604736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55315604736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91618555392).

55315604736 is an abundant number, since it is smaller than the sum of its proper divisors (127921506048).

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

55315604736 is a wasteful number, since it uses less digits than its factorization.

55315604736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18177 (or 18160 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 55315604736 in words is "fifty-five billion, three hundred fifteen million, six hundred four thousand, seven hundred thirty-six".