Search a number
-
+
55928030970240 = 2732511131719920071
BaseRepresentation
bin11001011011101110000100…
…11010110100000110000000
321100000200000122021022010100
430231313002122310012000
524312311101412021430
6314540552134202400
714531444513320152
oct1455670232640600
9240020018238110
1055928030970240
1116902a43495250
1263332884b3400
132528cb5715860
14db4d070a8ad2
1566ec3a6e0960
hex32ddc26b4180

55928030970240 has 1536 divisors, whose sum is σ = 241455561984000. Its totient is φ = 11719390003200.

The previous prime is 55928030970221. The next prime is 55928030970319. The reversal of 55928030970240 is 4207903082955.

55928030970240 is a `hidden beast` number, since 5 + 5 + 9 + 28 + 0 + 309 + 70 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2786499405 + ... + 2786519475.

It is an arithmetic number, because the mean of its divisors is an integer number (157197631500).

Almost surely, 255928030970240 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 55928030970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120727780992000).

55928030970240 is an abundant number, since it is smaller than the sum of its proper divisors (185527531013760).

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

55928030970240 is a wasteful number, since it uses less digits than its factorization.

55928030970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20336 (or 20321 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 55928030970240 in words is "fifty-five trillion, nine hundred twenty-eight billion, thirty million, nine hundred seventy thousand, two hundred forty".