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10768247364 = 22372319972791
BaseRepresentation
bin10100000011101011…
…00110101001000100
31000210110100122101110
422001311212221010
5134023132403424
64540304525020
7530563410120
oct120165465104
930713318343
1010768247364
114626438696
122106320770
131027c03704
147421c4580
15430561c29
hex281d66a44

10768247364 has 96 divisors (see below), whose sum is σ = 29989564416. Its totient is φ = 2940347520.

The previous prime is 10768247363. The next prime is 10768247383. The reversal of 10768247364 is 46374286701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10768247363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3856809 + ... + 3859599.

It is an arithmetic number, because the mean of its divisors is an integer number (312391296).

Almost surely, 210768247364 is an apocalyptic number.

10768247364 is a gapful number since it is divisible by the number (14) 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 10768247364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994782208).

10768247364 is an abundant number, since it is smaller than the sum of its proper divisors (19221317052).

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

10768247364 is a wasteful number, since it uses less digits than its factorization.

10768247364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 10768247364 in words is "ten billion, seven hundred sixty-eight million, two hundred forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 1997 2791 3994 5582 5991 7988 8373 11164 11982 13979 16746 19537 23964 27958 33492 39074 41937 45931 55916 58611 64193 78148 83874 91862 117222 128386 137793 167748 183724 192579 234444 256772 275586 321517 385158 449351 551172 643034 770316 898702 964551 1286068 1348053 1797404 1929102 2696106 3858204 5392212 5573627 11147254 16720881 22294508 33441762 39015389 66883524 78030778 117046167 128193421 156061556 234092334 256386842 384580263 468184668 512773684 769160526 897353947 1538321052 1794707894 2692061841 3589415788 5384123682 10768247364