Search a number
-
+
561552732070416 = 2432313722714977481
BaseRepresentation
bin111111110101110101010111…
…1000111100010001000010000
32201122021220202102022000210100
41333223222233013202020100
51042100434443402223131
65310153432545132400
7226165563123061452
oct17753525707421020
92648256672260710
10561552732070416
11152a231a3671249
1252b9482192a100
131b1452704303b8
149c954239302d2
1544dc41deac7e6
hex1febaaf1e2210

561552732070416 has 240 divisors, whose sum is σ = 1673448202603008. Its totient is φ = 175473759283200.

The previous prime is 561552732070411. The next prime is 561552732070441. The reversal of 561552732070416 is 614070237255165.

It is a happy number.

561552732070416 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 527 + 3 + 2 + 0 + 70 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (561552732070411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30004396 + ... + 44981876.

Almost surely, 2561552732070416 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 561552732070416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836724101301504).

561552732070416 is an abundant number, since it is smaller than the sum of its proper divisors (1111895470532592).

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

561552732070416 is a wasteful number, since it uses less digits than its factorization.

561552732070416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14977790 (or 14977781 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 561552732070416 in words is "five hundred sixty-one trillion, five hundred fifty-two billion, seven hundred thirty-two million, seventy thousand, four hundred sixteen".