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556065615056 = 24723971222311
BaseRepresentation
bin10000001011110000001…
…01111110110011010000
31222011022011120001110212
420011320011332303100
533102310244140211
61103241503543252
755113552512120
oct10057005766320
91864264501425
10556065615056
111a490a5a7956
128b9292bab28
134058a74b223
141ccb1362c80
15e6e7c7238b
hex817817ecd0

556065615056 has 80 divisors (see below), whose sum is σ = 1286151395328. Its totient is φ = 227716579200.

The previous prime is 556065615043. The next prime is 556065615067. The reversal of 556065615056 is 650516560655.

It is a junction number, because it is equal to n+sod(n) for n = 556065614995 and 556065615013.

It is a congruent number.

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, 2390141 + ... + 2612451.

Almost surely, 2556065615056 is an apocalyptic number.

556065615056 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 556065615056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643075697664).

556065615056 is an abundant number, since it is smaller than the sum of its proper divisors (730085780272).

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

556065615056 is a wasteful number, since it uses less digits than its factorization.

556065615056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223320 (or 223314 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 50.

The spelling of 556065615056 in words is "five hundred fifty-six billion, sixty-five million, six hundred fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 971 1288 1942 2576 3884 6797 7768 13594 15536 22333 27188 44666 54376 89332 108752 156331 178664 222311 312662 357328 444622 625324 889244 1250648 1556177 1778488 2501296 3112354 3556976 5113153 6224708 10226306 12449416 20452612 24898832 35792071 40905224 71584142 81810448 143168284 215863981 286336568 431727962 572673136 863455924 1511047867 1726911848 3022095734 3453823696 4964871563 6044191468 9929743126 12088382936 19859486252 24176765872 34754100941 39718972504 69508201882 79437945008 139016403764 278032807528 556065615056