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11643399424 = 28194349
BaseRepresentation
bin10101101100000000…
…00010110100000000
31010001110002222022201
422312000002310000
5142321202240144
65203210242544
7561351155626
oct126600026400
933043088281
1011643399424
114a35439358
12230b426454
13113730a177
147c6513516
154822d11d4
hex2b6002d00

11643399424 has 90 divisors (see below), whose sum is σ = 24602784850. Its totient is φ = 5499491328.

The previous prime is 11643399403. The next prime is 11643399487. The reversal of 11643399424 is 42499334611.

It can be written as a sum of positive squares in only one way, i.e., 10809345024 + 834054400 = 103968^2 + 28880^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33362002 + ... + 33362350.

Almost surely, 211643399424 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 11643399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301392425).

11643399424 is an abundant number, since it is smaller than the sum of its proper divisors (12959385426).

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

11643399424 is an frugal number, since it uses more digits than its factorization.

11643399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 370 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The spelling of 11643399424 in words is "eleven billion, six hundred forty-three million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 349 361 608 698 722 1216 1396 1444 2432 2792 2888 4864 5584 5776 6631 6859 11168 11552 13262 13718 22336 23104 26524 27436 44672 46208 53048 54872 89344 92416 106096 109744 125989 130321 212192 219488 251978 260642 424384 438976 503956 521284 848768 877952 1007912 1042568 1697536 1755904 2015824 2085136 2393791 4031648 4170272 4787582 8063296 8340544 9575164 16126592 16681088 19150328 32253184 33362176 38300656 45482029 76601312 90964058 153202624 181928116 306405248 363856232 612810496 727712464 1455424928 2910849856 5821699712 11643399424