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1064151539968 = 281112714931993
BaseRepresentation
bin11110111110001000101…
…11111110000100000000
310202201202112212022102211
433133010113332010000
5114413340243234333
62132510420351504
7136611444562546
oct17370427760400
93681675768384
101064151539968
11380338890420
121522a6245594
137946cb6524a
1439710419d96
151ca336c4ecd
hexf7c45fe100

1064151539968 has 144 divisors (see below), whose sum is σ = 2338233440256. Its totient is φ = 479334481920.

The previous prime is 1064151539963. The next prime is 1064151539977. The reversal of 1064151539968 is 8699351514601.

It is a happy number.

1064151539968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10641515399682 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064151539963) 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, 533943580 + ... + 533945572.

It is an arithmetic number, because the mean of its divisors is an integer number (16237732224).

Almost surely, 21064151539968 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 1064151539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169116720128).

1064151539968 is an abundant number, since it is smaller than the sum of its proper divisors (1274081900288).

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

1064151539968 is a wasteful number, since it uses less digits than its factorization.

1064151539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 58.

The spelling of 1064151539968 in words is "one trillion, sixty-four billion, one hundred fifty-one million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 256 352 508 704 1016 1397 1408 1493 1993 2032 2794 2816 2986 3986 4064 5588 5972 7972 8128 11176 11944 15944 16256 16423 21923 22352 23888 31888 32512 32846 43846 44704 47776 63776 65692 87692 89408 95552 127552 131384 175384 178816 189611 191104 253111 255104 262768 350768 357632 379222 382208 506222 510208 525536 701536 758444 1012444 1051072 1403072 1516888 2024888 2085721 2102144 2784221 2806144 2975549 3033776 4049776 4171442 4204288 5568442 5612288 5951098 6067552 8099552 8342884 11136884 11902196 12135104 16199104 16685768 22273768 23804392 24270208 32398208 32731039 33371536 44547536 47608784 48540416 64796416 65462078 66743072 89095072 95217568 130924156 133486144 178190144 190435136 261848312 266972288 356380288 377894723 380870272 523696624 533944576 712760576 755789446 761740544 1047393248 1511578892 2094786496 3023157784 4156841953 4189572992 6046315568 8313683906 8379145984 12092631136 16627367812 24185262272 33254735624 48370524544 66509471248 96741049088 133018942496 266037884992 532075769984 1064151539968