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4575576104256 = 26379367382129
BaseRepresentation
bin100001010010101010110…
…0101101001110101000000
3121012102100202200022002010
41002211111211221311000
51044431234440314011
613421553551252520
7651401020113033
oct102452545516500
917172322608063
104575576104256
111504544475863
1261a93b21a140
1327262369c911
1411b65d96301a
157e04ba031a6
hex42955969d40

4575576104256 has 112 divisors (see below), whose sum is σ = 12262941996800. Its totient is φ = 1505457487872.

The previous prime is 4575576104251. The next prime is 4575576104263. The reversal of 4575576104256 is 6524016755754.

It is a junction number, because it is equal to n+sod(n) for n = 4575576104196 and 4575576104205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575576104251) 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, 55671000 + ... + 55753128.

Almost surely, 24575576104256 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 4575576104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131470998400).

4575576104256 is an abundant number, since it is smaller than the sum of its proper divisors (7687365892544).

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

4575576104256 is a wasteful number, since it uses less digits than its factorization.

4575576104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85896 (or 85886 counting only the distinct ones).

The product of its (nonzero) digits is 35280000, while the sum is 57.

The spelling of 4575576104256 in words is "four trillion, five hundred seventy-five billion, five hundred seventy-six million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3673 3792 5056 7346 7584 11019 14692 15168 22038 29384 44076 58768 82129 88152 117536 164258 176304 235072 246387 290167 328516 352608 492774 580334 657032 705216 870501 985548 1160668 1314064 1741002 1971096 2321336 2628128 3482004 3942192 4642672 5256256 6488191 6964008 7884384 9285344 12976382 13928016 15768768 18570688 19464573 25952764 27856032 38929146 51905528 55712064 77858292 103811056 155716584 207622112 301659817 311433168 415244224 603319634 622866336 904979451 1206639268 1245732672 1809958902 2413278536 3619917804 4826557072 7239835608 9653114144 14479671216 19306228288 23831125543 28959342432 47662251086 57918684864 71493376629 95324502172 142986753258 190649004344 285973506516 381298008688 571947013032 762596017376 1143894026064 1525192034752 2287788052128 4575576104256