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383912288768 = 2913921972
BaseRepresentation
bin1011001011000101111…
…01001010001000000000
31100200221111200222000002
411211202331022020000
522242223021220033
6452211124415132
736510463416551
oct5454275121000
91320844628002
10383912288768
111388a8529888
12624a35474a8
132a283654b98
141481d71c328
159ebe3793e8
hex5962f4a200

383912288768 has 90 divisors (see below), whose sum is σ = 776574877221. Its totient is φ = 189607778304.

The previous prime is 383912288741. The next prime is 383912288791. The reversal of 383912288768 is 867882219383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 245968386304 + 137943902464 = 495952^2 + 371408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=438128.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1948793246 + ... + 1948793442.

Almost surely, 2383912288768 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 383912288768

383912288768 is an abundant number, since it is smaller than the sum of its proper divisors (392662588453).

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

383912288768 is an frugal number, since it uses more digits than its factorization.

383912288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 338 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 65.

The spelling of 383912288768 in words is "three hundred eighty-three billion, nine hundred twelve million, two hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 197 256 278 394 512 556 788 1112 1576 2224 3152 4448 6304 8896 12608 17792 19321 25216 27383 35584 38642 38809 50432 54766 71168 77284 77618 100864 109532 154568 155236 219064 309136 310472 438128 618272 620944 876256 1236544 1241888 1752512 2473088 2483776 3505024 3806237 4946176 4967552 5394451 7010048 7612474 9892352 9935104 10788902 14020096 15224948 19870208 21577804 30449896 43155608 60899792 86311216 121799584 172622432 243599168 345244864 487198336 690489728 749828689 974396672 1380979456 1499657378 1948793344 2761958912 2999314756 5998629512 11997259024 23994518048 47989036096 95978072192 191956144384 383912288768