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555605505056 = 25717151966257
BaseRepresentation
bin10000001010111001010…
…10110011010000100000
31222010010002210001012202
420011130222303100200
533100340002130211
61103124110112332
755066264604420
oct10053452632040
91863102701182
10555605505056
111a46a3906458
128b81b1ab6a8
13405163218a4
141cc6a1d2480
15e6bc68853b
hex815cab3420

555605505056 has 96 divisors (see below), whose sum is σ = 1332415671552. Its totient is φ = 222625382400.

The previous prime is 555605505031. The next prime is 555605505067. The reversal of 555605505056 is 650505506555.

It is a self number, because there is not a number n which added to its sum of digits gives 555605505056.

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, 91880 + ... + 1058136.

It is an arithmetic number, because the mean of its divisors is an integer number (13879329912).

Almost surely, 2555605505056 is an apocalyptic number.

555605505056 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 555605505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666207835776).

555605505056 is an abundant number, since it is smaller than the sum of its proper divisors (776810166496).

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

555605505056 is a wasteful number, since it uses less digits than its factorization.

555605505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966442 (or 966434 counting only the distinct ones).

The product of its (nonzero) digits is 2812500, while the sum is 47.

The spelling of 555605505056 in words is "five hundred fifty-five billion, six hundred five million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 151 224 238 272 302 476 544 604 952 1057 1208 1904 2114 2416 2567 3808 4228 4832 5134 8456 10268 16912 17969 20536 33824 35938 41072 71876 82144 143752 287504 575008 966257 1932514 3865028 6763799 7730056 13527598 15460112 16426369 27055196 30920224 32852738 54110392 65705476 108220784 114984583 131410952 145904807 216441568 229969166 262821904 291809614 459938332 525643808 583619228 919876664 1021333649 1167238456 1839753328 2042667298 2334476912 2480381719 3679506656 4085334596 4668953824 4960763438 8170669192 9921526876 16341338384 17362672033 19843053752 32682676768 34725344066 39686107504 69450688132 79372215008 138901376264 277802752528 555605505056