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55555556056 = 237111359311699
BaseRepresentation
bin110011101111010111…
…101000001011011000
312022101202120122211021
4303233113220023120
51402234210243211
641304420212224
74004501302120
oct635727501330
9168352518737
1055555556056
11216197325a0
12a92553a074
135314a359c0
1429904c9c80
1516a248a771
hexcef5e82d8

55555556056 has 128 divisors (see below), whose sum is σ = 140107968000. Its totient is φ = 19944622080.

The previous prime is 55555556051. The next prime is 55555556087. The reversal of 55555556056 is 65065555555.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 55555555994 and 55555556012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55555556051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4742895 + ... + 4754593.

It is an arithmetic number, because the mean of its divisors is an integer number (1094593500).

Almost surely, 255555556056 is an apocalyptic number.

55555556056 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 55555556056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70053984000).

55555556056 is an abundant number, since it is smaller than the sum of its proper divisors (84552411944).

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

55555556056 is a wasteful number, since it uses less digits than its factorization.

55555556056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329 (or 12325 counting only the distinct ones).

The product of its (nonzero) digits is 14062500, while the sum is 52.

The spelling of 55555556056 in words is "fifty-five billion, five hundred fifty-five million, five hundred fifty-six thousand, fifty-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 593 616 728 1001 1144 1186 2002 2372 4004 4151 4744 6523 7709 8008 8302 11699 13046 15418 16604 23398 26092 30836 33208 45661 46796 52184 53963 61672 81893 84799 91322 93592 107926 128689 152087 163786 169598 182644 215852 257378 304174 327572 339196 365288 431704 514756 593593 608348 655144 678392 900823 1029512 1064609 1187186 1216696 1672957 1801646 2129218 2374372 3345914 3603292 4258436 4748744 6691828 6937507 7206584 8516872 11710699 13383656 13875014 23421398 27750028 46842796 48562549 55500056 76312577 90187591 93685592 97125098 152625154 180375182 194250196 305250308 360750364 388500392 534188039 610500616 631313137 721500728 992063501 1068376078 1262626274 1984127002 2136752156 2525252548 3968254004 4273504312 5050505096 6944444507 7936508008 13888889014 27777778028 55555556056