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556060506056 = 2311191433232081
BaseRepresentation
bin10000001011101111100…
…10011111011111001000
31222011021210221111020122
420011313302133133020
533102302442143211
61103241202242412
755113461213066
oct10056762373710
91864253844218
10556060506056
111a4907728440
128b927656408
134058967c953
141ccb07d3036
15e6e75b36db
hex8177c9f7c8

556060506056 has 64 divisors (see below), whose sum is σ = 1198100116800. Its totient is φ = 239283763200.

The previous prime is 556060506017. The next prime is 556060506083. The reversal of 556060506056 is 650605060655.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 556060505998 and 556060506016.

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, 2279936 + ... + 2512016.

It is an arithmetic number, because the mean of its divisors is an integer number (18720314325).

Almost surely, 2556060506056 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 556060506056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599050058400).

556060506056 is an abundant number, since it is smaller than the sum of its proper divisors (642039610744).

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

556060506056 is a wasteful number, since it uses less digits than its factorization.

556060506056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233550 (or 233546 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 556060506056 in words is "five hundred fifty-six billion, sixty million, five hundred six thousand, fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1433 1672 2866 5732 11464 15763 27227 31526 54454 63052 108908 126104 217816 232081 299497 464162 598994 928324 1197988 1856648 2395976 2552891 4409539 5105782 8819078 10211564 17638156 20423128 35276312 48504929 97009858 194019716 332572073 388039432 665144146 1330288292 2660576584 3658292803 6318869387 7316585606 12637738774 14633171212 25275477548 29266342424 50550955096 69507563257 139015126514 278030253028 556060506056