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55030414656 = 263778752027
BaseRepresentation
bin110011010000000100…
…010111110101000000
312021001011102201020210
4303100010113311000
51400200241232111
641140340434120
73655463543460
oct632004276500
9167034381223
1055030414656
112137a264038
12a7b96a8940
13525ccba249
14294086bba0
1516713080a6
hexcd0117d40

55030414656 has 112 divisors (see below), whose sum is σ = 166616132096. Its totient is φ = 15702695424.

The previous prime is 55030414643. The next prime is 55030414657. The reversal of 55030414656 is 65641403055.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×550304146562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55030414657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031715 + ... + 1083741.

Almost surely, 255030414656 is an apocalyptic number.

55030414656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55030414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83308066048).

55030414656 is an abundant number, since it is smaller than the sum of its proper divisors (111585717440).

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

55030414656 is a wasteful number, since it uses less digits than its factorization.

55030414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52836 (or 52826 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 55030414656 in words is "fifty-five billion, thirty million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 787 1344 1574 2361 3148 4722 5509 6296 9444 11018 12592 16527 18888 22036 25184 33054 37776 44072 50368 52027 66108 75552 88144 104054 132216 151104 156081 176288 208108 264432 312162 352576 364189 416216 528864 624324 728378 832432 1057728 1092567 1248648 1456756 1664864 2185134 2497296 2913512 3329728 4370268 4994592 5827024 8740536 9989184 11654048 17481072 23308096 34962144 40945249 69924288 81890498 122835747 163780996 245671494 286616743 327561992 491342988 573233486 655123984 859850229 982685976 1146466972 1310247968 1719700458 1965371952 2292933944 2620495936 3439400916 3930743904 4585867888 6878801832 7861487808 9171735776 13757603664 18343471552 27515207328 55030414656