Search a number
-
+
54360544656 = 24311317324781
BaseRepresentation
bin110010101000001001…
…000001010110010000
312012022110221210100210
4302220021001112100
51342312244412111
640550051044120
73633051001635
oct625011012620
9165273853323
1054360544656
1121066123870
12a6512a0640
13518429a072
1428b98d818c
1516325d80a6
hexca8241590

54360544656 has 80 divisors (see below), whose sum is σ = 153681645888. Its totient is φ = 16420876800.

The previous prime is 54360544613. The next prime is 54360544661. The reversal of 54360544656 is 65644506345.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4986 + ... + 329766.

Almost surely, 254360544656 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 54360544656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76840822944).

54360544656 is an abundant number, since it is smaller than the sum of its proper divisors (99321101232).

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

54360544656 is a wasteful number, since it uses less digits than its factorization.

54360544656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325120 (or 325114 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 54360544656 in words is "fifty-four billion, three hundred sixty million, five hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 317 528 634 951 1268 1902 2536 3487 3804 5072 6974 7608 10461 13948 15216 20922 27896 41844 55792 83688 167376 324781 649562 974343 1299124 1948686 2598248 3572591 3897372 5196496 7145182 7794744 10717773 14290364 15589488 21435546 28580728 42871092 57161456 85742184 102955577 171484368 205911154 308866731 411822308 617733462 823644616 1132511347 1235466924 1647289232 2265022694 2470933848 3397534041 4530045388 4941867696 6795068082 9060090776 13590136164 18120181552 27180272328 54360544656