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675694444496576 = 26113449889323399
BaseRepresentation
bin1001100110100010100101111…
…1010101110100011011000000
310021121102202110121110122122212
42121220221133111310123000
51202031034210242342301
610353025424220121252
7262216212142432031
oct23150513725643300
93247382417418585
10675694444496576
1118632a44a66727a
126394a13a396228
1323004935a9978b
14bcbdadd9daa88
15531b56a8a74bb
hex2668a5f5746c0

675694444496576 has 112 divisors (see below), whose sum is σ = 1355920005960000. Its totient is φ = 334059791450112.

The previous prime is 675694444496567. The next prime is 675694444496611.

675694444496576 is nontrivially palindromic in base 10.

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, 28877053325 + ... + 28877076723.

Almost surely, 2675694444496576 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 675694444496576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677960002980000).

675694444496576 is an abundant number, since it is smaller than the sum of its proper divisors (680225561463424).

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

675694444496576 is a wasteful number, since it uses less digits than its factorization.

675694444496576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32866 (or 32856 counting only the distinct ones).

The product of its digits is 131681894400, while the sum is 86.

The spelling of 675694444496576 in words is "six hundred seventy-five trillion, six hundred ninety-four billion, four hundred forty-four million, four hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 113 226 449 452 898 904 1796 1808 3592 3616 7184 7232 8893 14368 17786 23399 28736 35572 46798 50737 71144 93596 101474 142288 187192 202948 284576 374384 405896 569152 748768 811792 1004909 1497536 1623584 2009818 2644087 3247168 3992957 4019636 5288174 7985914 8039272 10506151 10576348 15971828 16078544 21012302 21152696 31943656 32157088 42024604 42305392 63887312 64314176 84049208 84610784 127774624 168098416 169221568 208087307 255549248 336196832 416174614 451204141 672393664 832349228 902408282 1187195063 1664698456 1804816564 2374390126 3329396912 3609633128 4748780252 6658793824 7219266256 9497560504 13317587648 14438532512 18995121008 23513865691 28877065024 37990242016 47027731382 75980484032 93431200843 94055462764 186862401686 188110925528 373724803372 376221851056 747449606744 752443702112 1494899213488 1504887404224 2989798426976 5979596853952 10557725695259 21115451390518 42230902781036 84461805562072 168923611124144 337847222248288 675694444496576