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11531411540 = 22511416719081
BaseRepresentation
bin10101011110101001…
…10110000001010100
31002202122101101211022
422233110312001110
5142104020132130
65144130100312
7555521244425
oct125724660124
932678341738
1011531411540
1149881aa190
122299a1a698
13111a05a04c
147b56c164c
1547755e7e5
hex2af536054

11531411540 has 96 divisors (see below), whose sum is σ = 27467088768. Its totient is φ = 4029696000.

The previous prime is 11531411539. The next prime is 11531411687. The reversal of 11531411540 is 4511413511.

It is a congruent number.

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, 594800 + ... + 613880.

It is an arithmetic number, because the mean of its divisors is an integer number (286115508).

Almost surely, 211531411540 is an apocalyptic number.

11531411540 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 11531411540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733544384).

11531411540 is an abundant number, since it is smaller than the sum of its proper divisors (15935677228).

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

11531411540 is a wasteful number, since it uses less digits than its factorization.

11531411540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19209 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 11531411540 in words is "eleven billion, five hundred thirty-one million, four hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 67 82 110 134 164 205 220 268 335 410 451 670 737 820 902 1340 1474 1804 2255 2747 2948 3685 4510 5494 7370 9020 10988 13735 14740 19081 27470 30217 38162 54940 60434 76324 95405 120868 151085 190810 209891 302170 381620 419782 604340 782321 839564 1049455 1278427 1564642 2098910 2556854 3129284 3911605 4197820 5113708 6392135 7823210 8605531 12784270 14062697 15646420 17211062 25568540 28125394 34422124 43027655 52415507 56250788 70313485 86055310 104831014 140626970 172110620 209662028 262077535 281253940 524155070 576570577 1048310140 1153141154 2306282308 2882852885 5765705770 11531411540