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11633042220 = 22351944922727
BaseRepresentation
bin10101101010110001…
…00010001100101100
31010000201121202220120
422311120202030230
5142311024322340
65202200244540
7561164140662
oct126530421454
933021552816
1011633042220
114a2a604888
122307a70750
131135121b47
147c4db8c32
154814374d0
hex2b562232c

11633042220 has 96 divisors (see below), whose sum is σ = 34364736000. Its totient is φ = 2932199424.

The previous prime is 11633042209. The next prime is 11633042249. The reversal of 11633042220 is 2224033611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500497 + ... + 523223.

It is an arithmetic number, because the mean of its divisors is an integer number (357966000).

Almost surely, 211633042220 is an apocalyptic number.

11633042220 is a gapful number since it is divisible by the number (10) 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 11633042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182368000).

11633042220 is an abundant number, since it is smaller than the sum of its proper divisors (22731693780).

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

11633042220 is a wasteful number, since it uses less digits than its factorization.

11633042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207 (or 23205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11633042220 its reverse (2224033611), we get a palindrome (13857075831).

The spelling of 11633042220 in words is "eleven billion, six hundred thirty-three million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 449 570 898 1140 1347 1796 2245 2694 4490 5388 6735 8531 8980 13470 17062 22727 25593 26940 34124 42655 45454 51186 68181 85310 90908 102372 113635 127965 136362 170620 227270 255930 272724 340905 431813 454540 511860 681810 863626 1295439 1363620 1727252 2159065 2590878 4318130 5181756 6477195 8636260 10204423 12954390 20408846 25908780 30613269 40817692 51022115 61226538 102044230 122453076 153066345 193884037 204088460 306132690 387768074 581652111 612265380 775536148 969420185 1163304222 1938840370 2326608444 2908260555 3877680740 5816521110 11633042220