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1389667968 = 27331330931
BaseRepresentation
bin101001011010100…
…1010011010000000
310120211220110002000
41102311022122000
510321223333333
6345521224000
746302661053
oct12265123200
93524813060
101389667968
11653482127
12329492000
13191ba1a50
14d27c2a9a
1582003713
hex52d4a680

1389667968 has 128 divisors (see below), whose sum is σ = 4417089600. Its totient is φ = 427576320.

The previous prime is 1389667967. The next prime is 1389667973. The reversal of 1389667968 is 8697669831.

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

It is a super-2 number, since 2×13896679682 = 3862354122570498048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1389667967) 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, 29463 + ... + 60393.

Almost surely, 21389667968 is an apocalyptic number.

1389667968 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 1389667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208544800).

1389667968 is an abundant number, since it is smaller than the sum of its proper divisors (3027421632).

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

1389667968 is a wasteful number, since it uses less digits than its factorization.

1389667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30967 (or 30949 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 1389667968 is about 37278.2506027308. The cubic root of 1389667968 is about 1115.9301609666.

The spelling of 1389667968 in words is "one billion, three hundred eighty-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 30931 44928 61862 92793 123724 185586 247448 278379 371172 402103 494896 556758 742344 804206 835137 989792 1113516 1206309 1484688 1608412 1670274 1979584 2227032 2412618 2969376 3216824 3340548 3618927 3959168 4454064 4825236 5938752 6433648 6681096 7237854 8908128 9650472 10856781 11877504 12867296 13362192 14475708 17816256 19300944 21713562 25734592 26724384 28951416 35632512 38601888 43427124 51469184 53448768 57902832 77203776 86854248 106897536 115805664 154407552 173708496 231611328 347416992 463222656 694833984 1389667968