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4395374956 = 22717191972467
BaseRepresentation
bin1000001011111110…
…00001100101101100
3102100022200011221001
410011333001211230
533000203444311
62004052050044
7213631033150
oct40577014554
912308604831
104395374956
111956090295
12a28003924
13550803aab
142d9a73060
151aad234c1
hex105fc196c

4395374956 has 96 divisors (see below), whose sum is σ = 9851466240. Its totient is φ = 1670409216.

The previous prime is 4395374927. The next prime is 4395374981. The reversal of 4395374956 is 6594735934.

It is a junction number, because it is equal to n+sod(n) for n = 4395374897 and 4395374906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780435 + ... + 1782901.

It is an arithmetic number, because the mean of its divisors is an integer number (102619440).

Almost surely, 24395374956 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 4395374956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925733120).

4395374956 is an abundant number, since it is smaller than the sum of its proper divisors (5456091284).

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

4395374956 is a wasteful number, since it uses less digits than its factorization.

4395374956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 55.

The square root of 4395374956 is about 66297.6240599918. The cubic root of 4395374956 is about 1638.0681888620.

The spelling of 4395374956 in words is "four billion, three hundred ninety-five million, three hundred seventy-four thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 197 238 266 323 394 476 532 646 788 1292 1379 2261 2467 2758 3349 3743 4522 4934 5516 6698 7486 9044 9868 13396 14972 17269 23443 26201 34538 41939 46873 46886 52402 63631 69076 83878 93746 93772 104804 127262 167756 187492 254524 293573 328111 445417 485999 587146 656222 796841 890834 971998 1174292 1312444 1593682 1781668 1943996 3187364 3401993 5577887 6803986 8261983 9233981 11155774 13607972 16523966 18467962 22311548 33047932 36935924 57833881 64637867 115667762 129275734 156977677 231335524 258551468 313955354 627910708 1098843739 2197687478 4395374956