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11630444540 = 225111319214031
BaseRepresentation
bin10101101010011101…
…00111111111111100
31010000112201210120012
422311032213333330
5142304343211130
65202024442352
7561133101401
oct126516477774
933015653505
1011630444540
114a290a0140
1223070193b8
131134722660
147c49002a8
154810c2995
hex2b53a7ffc

11630444540 has 96 divisors (see below), whose sum is σ = 30204195840. Its totient is φ = 3698438400.

The previous prime is 11630444533. The next prime is 11630444563. The reversal of 11630444540 is 4544403611.

It is a junction number, because it is equal to n+sod(n) for n = 11630444497 and 11630444506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52676 + ... + 161355.

It is an arithmetic number, because the mean of its divisors is an integer number (314627040).

Almost surely, 211630444540 is an apocalyptic number.

11630444540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11630444540 is an abundant number, since it is smaller than the sum of its proper divisors (18573751300).

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

11630444540 is a wasteful number, since it uses less digits than its factorization.

11630444540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214083 (or 214081 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 11630444540 in words is "eleven billion, six hundred thirty million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2860 4180 4940 5434 10868 13585 27170 54340 214031 428062 856124 1070155 2140310 2354341 2782403 4066589 4280620 4708682 5564806 8133178 9417364 11129612 11771705 13912015 16266356 20332945 23543410 27824030 30606433 40665890 44732479 47086820 52865657 55648060 61212866 81331780 89464958 105731314 122425732 153032165 178929916 211462628 223662395 264328285 306064330 447324790 528656570 581522227 612128660 894649580 1057313140 1163044454 2326088908 2907611135 5815222270 11630444540