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1389723264 = 27333791061
BaseRepresentation
bin101001011010101…
…0111111010000000
310120212000020221000
41102311113322000
510321232121024
6345522332000
746303311216
oct12265277200
93525006830
101389723264
1165350a726
123294ba000
13191bc0c77
14d27d8cb6
1582014cc9
hex52d57e80

1389723264 has 128 divisors (see below), whose sum is σ = 4116312000. Its totient is φ = 461583360.

The previous prime is 1389723263. The next prime is 1389723271. The reversal of 1389723264 is 4623279831.

1389723264 is a `hidden beast` number, since 1 + 389 + 7 + 2 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1389723263) 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, 1309294 + ... + 1310354.

Almost surely, 21389723264 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 1389723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058156000).

1389723264 is an abundant number, since it is smaller than the sum of its proper divisors (2726588736).

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

1389723264 is a wasteful number, since it uses less digits than its factorization.

1389723264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1445 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1389723264 is about 37278.9922610577. The cubic root of 1389723264 is about 1115.9449620215.

The spelling of 1389723264 in words is "one billion, three hundred eighty-nine million, seven hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 379 384 432 576 758 864 1061 1137 1152 1516 1728 2122 2274 3032 3183 3411 3456 4244 4548 6064 6366 6822 8488 9096 9549 10233 12128 12732 13644 16976 18192 19098 20466 24256 25464 27288 28647 33952 36384 38196 40932 48512 50928 54576 57294 67904 72768 76392 81864 101856 109152 114588 135808 145536 152784 163728 203712 218304 229176 305568 327456 402119 407424 436608 458352 611136 654912 804238 916704 1206357 1222272 1309824 1608476 1833408 2412714 3216952 3619071 3666816 4825428 6433904 7238142 9650856 10857213 12867808 14476284 19301712 21714426 25735616 28952568 38603424 43428852 51471232 57905136 77206848 86857704 115810272 154413696 173715408 231620544 347430816 463241088 694861632 1389723264