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56488454928 = 24321517873301
BaseRepresentation
bin110100100110111110…
…010110101100010000
312101210202222211111100
4310212332112230100
51411142021024203
641541143344400
74036556641653
oct644676265420
9171722884440
1056488454928
1121a582952a4
12ab45a52100
1354330aa979
142a3c36b89a
151709314ea3
hexd26f96b10

56488454928 has 120 divisors (see below), whose sum is σ = 159386641856. Its totient is φ = 18675360000.

The previous prime is 56488454927. The next prime is 56488454951. The reversal of 56488454928 is 82945488465.

56488454928 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 84 + 549 + 2 + 8 = 666.

56488454928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2376732-1.

It is not an unprimeable number, because it can be changed into a prime (56488454921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17110878 + ... + 17114178.

Almost surely, 256488454928 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 56488454928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79693320928).

56488454928 is an abundant number, since it is smaller than the sum of its proper divisors (102898186928).

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

56488454928 is a wasteful number, since it uses less digits than its factorization.

56488454928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4244 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 56488454928 in words is "fifty-six billion, four hundred eighty-eight million, four hundred fifty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 787 906 1208 1359 1574 1812 2361 2416 2718 3148 3301 3624 4722 5436 6296 6602 7083 7248 9444 9903 10872 12592 13204 14166 18888 19806 21744 26408 28332 29709 37776 39612 52816 56664 59418 79224 113328 118836 118837 158448 237672 237674 356511 475344 475348 498451 713022 950696 996902 1069533 1426044 1495353 1901392 1993804 2139066 2597887 2852088 2990706 3987608 4278132 4486059 5195774 5704176 5981412 7793661 7975216 8556264 8972118 10391548 11962824 15587322 17112528 17944236 20783096 23380983 23925648 31174644 35888472 41566192 46761966 62349288 71776944 93523932 124698576 187047864 374095728 392280937 784561874 1176842811 1569123748 2353685622 3138247496 3530528433 4707371244 6276494992 7061056866 9414742488 14122113732 18829484976 28244227464 56488454928