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556082802464 = 2577989353081
BaseRepresentation
bin10000001011110010001…
…11100010111100100000
31222011100100220021011112
420011321013202330200
533102324144134324
61103243320202452
755114151555150
oct10057107427440
91864310807145
10556082802464
111a4919277022
128b933009428
13405911883a7
141ccb3758760
15e6e9519c0e
hex81791e2f20

556082802464 has 96 divisors (see below), whose sum is σ = 1281263961600. Its totient is φ = 232659947520.

The previous prime is 556082802463. The next prime is 556082802529. The reversal of 556082802464 is 464208280655.

It is not an unprimeable number, because it can be changed into a prime (556082802463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1398404 + ... + 1751484.

It is an arithmetic number, because the mean of its divisors is an integer number (13346499600).

Almost surely, 2556082802464 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 556082802464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640631980800).

556082802464 is an abundant number, since it is smaller than the sum of its proper divisors (725181159136).

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

556082802464 is a wasteful number, since it uses less digits than its factorization.

556082802464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353266 (or 353258 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 556082802464 in words is "five hundred fifty-six billion, eighty-two million, eight hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 89 112 158 178 224 316 356 553 623 632 712 1106 1246 1264 1424 2212 2492 2528 2848 4424 4984 7031 8848 9968 14062 17696 19936 28124 49217 56248 98434 112496 196868 224992 353081 393736 706162 787472 1412324 1574944 2471567 2824648 4943134 5649296 9886268 11298592 19772536 27893399 31424209 39545072 55786798 62848418 79090144 111573596 125696836 195253793 219969463 223147192 251393672 390507586 439938926 446294384 502787344 781015172 879877852 892588768 1005574688 1562030344 1759755704 2482512511 3124060688 3519511408 4965025022 6248121376 7039022816 9930050044 17377587577 19860100088 34755175154 39720200176 69510350308 79440400352 139020700616 278041401232 556082802464