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1064968848 = 2432192691447
BaseRepresentation
bin111111011110100…
…010001010010000
32202012221000121200
4333132202022100
54140113000343
6253401551200
735251041306
oct7736421220
92665830550
101064968848
114a7168949
122587a5500
1313c8369a8
14a1620276
15637664d3
hex3f7a2290

1064968848 has 120 divisors (see below), whose sum is σ = 3151137600. Its totient is φ = 334824192.

The previous prime is 1064968847. The next prime is 1064968871. The reversal of 1064968848 is 8488694601.

1064968848 is a `hidden beast` number, since 106 + 496 + 8 + 8 + 48 = 666.

1064968848 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 2×10649688482 = 2268317294420894208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064968794 and 1064968803.

It is not an unprimeable number, because it can be changed into a prime (1064968847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735261 + ... + 736707.

It is an arithmetic number, because the mean of its divisors is an integer number (26259480).

Almost surely, 21064968848 is an apocalyptic number.

1064968848 is a gapful number since it is divisible by the number (18) 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 1064968848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575568800).

1064968848 is an abundant number, since it is smaller than the sum of its proper divisors (2086168752).

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

1064968848 is a wasteful number, since it uses less digits than its factorization.

1064968848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1064968848 is about 32633.8604519907. The cubic root of 1064968848 is about 1021.2035159547.

It can be divided in two parts, 10649 and 68848, that added together give a palindrome (79497).

The spelling of 1064968848 in words is "one billion, sixty-four million, nine hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 269 304 342 456 538 684 807 912 1076 1368 1447 1614 2152 2421 2736 2894 3228 4304 4341 4842 5111 5788 6456 8682 9684 10222 11576 12912 13023 15333 17364 19368 20444 23152 26046 27493 30666 34728 38736 40888 45999 52092 54986 61332 69456 81776 82479 91998 104184 109972 122664 164958 183996 208368 219944 245328 247437 329916 367992 389243 439888 494874 659832 735984 778486 989748 1167729 1319664 1556972 1979496 2335458 3113944 3503187 3958992 4670916 6227888 7006374 7395617 9341832 14012748 14791234 18683664 22186851 28025496 29582468 44373702 56050992 59164936 66560553 88747404 118329872 133121106 177494808 266242212 354989616 532484424 1064968848