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54800780688 = 243533894159
BaseRepresentation
bin110011000010011000…
…011000110110010000
312020110011100002200000
4303002120120312100
51344212444440223
641101454530000
73650004643623
oct630230306620
9166404302600
1054800780688
11212716806a5
12a754806900
135224558764
14291c173dba
15165b098543
hexcc2618d90

54800780688 has 120 divisors (see below), whose sum is σ = 159131481600. Its totient is φ = 18257145984.

The previous prime is 54800780641. The next prime is 54800780747. The reversal of 54800780688 is 88608700845.

54800780688 is a `hidden beast` number, since 5 + 480 + 0 + 7 + 80 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13174353 + ... + 13178511.

It is an arithmetic number, because the mean of its divisors is an integer number (1326095680).

Almost surely, 254800780688 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 54800780688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79565740800).

54800780688 is an abundant number, since it is smaller than the sum of its proper divisors (104330700912).

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

54800780688 is a wasteful number, since it uses less digits than its factorization.

54800780688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 54800780688 in words is "fifty-four billion, eight hundred million, seven hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3389 3888 4159 6778 8318 10167 12477 13556 16636 20334 24954 27112 30501 33272 37431 40668 49908 54224 61002 66544 74862 81336 91503 99816 112293 122004 149724 162672 183006 199632 224586 244008 274509 299448 336879 366012 449172 488016 549018 598896 673758 732024 823527 898344 1010637 1098036 1347516 1464048 1647054 1796688 2021274 2196072 2695032 3294108 4042548 4392144 5390064 6588216 8085096 13176432 14094851 16170192 28189702 42284553 56379404 84569106 112758808 126853659 169138212 225517616 253707318 338276424 380560977 507414636 676552848 761121954 1014829272 1141682931 1522243908 2029658544 2283365862 3044487816 3425048793 4566731724 6088975632 6850097586 9133463448 13700195172 18266926896 27400390344 54800780688