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1383129088 = 2131115349
BaseRepresentation
bin101001001110000…
…1110000000000000
310120101121020102021
41102130032000000
510313040112323
6345125131224
746163255215
oct12234160000
93511536367
101383129088
1164a8163a0
12327259b14
131907226a3
14d199db0c
158166105d
hex5270e000

1383129088 has 56 divisors (see below), whose sum is σ = 3017748600. Its totient is φ = 628654080.

The previous prime is 1383129053. The next prime is 1383129101. The reversal of 1383129088 is 8809213831.

It is a super-3 number, since 3×13831290883 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82438 + ... + 97786.

Almost surely, 21383129088 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 1383129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508874300).

1383129088 is an abundant number, since it is smaller than the sum of its proper divisors (1634619512).

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

1383129088 is an equidigital number, since it uses as much as digits as its factorization.

1383129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15386 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 1383129088 is about 37190.4435036744. The cubic root of 1383129088 is about 1114.1771263145.

The spelling of 1383129088 in words is "one billion, three hundred eighty-three million, one hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 15349 22528 30698 45056 61396 90112 122792 168839 245584 337678 491168 675356 982336 1350712 1964672 2701424 3929344 5402848 7858688 10805696 15717376 21611392 31434752 43222784 62869504 86445568 125739008 172891136 345782272 691564544 1383129088