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11354022505540 = 22511213587614827
BaseRepresentation
bin1010010100111001000001…
…1110100110110001000100
31111012102201100110022221001
42211032100132212301010
52442011014230134130
640051544350303044
72251205155631101
oct245162036466104
944172640408831
1011354022505540
113688239784200
12133459b1b7a84
136448ab493a70
142b3775339aa8
1514a52692b6ca
hexa53907a6c44

11354022505540 has 144 divisors (see below), whose sum is σ = 28272221240256. Its totient is φ = 3804641660160.

The previous prime is 11354022505487. The next prime is 11354022505601. The reversal of 11354022505540 is 4550522045311.

It is a self number, because there is not a number n which added to its sum of digits gives 11354022505540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18159607 + ... + 18774433.

It is an arithmetic number, because the mean of its divisors is an integer number (196334869724).

Almost surely, 211354022505540 is an apocalyptic number.

11354022505540 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 11354022505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136110620128).

11354022505540 is an abundant number, since it is smaller than the sum of its proper divisors (16918198734716).

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

11354022505540 is a wasteful number, since it uses less digits than its factorization.

11354022505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615458 (or 615445 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 11354022505540 in words is "eleven trillion, three hundred fifty-four billion, twenty-two million, five hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 587 605 715 1174 1210 1430 1573 2348 2420 2860 2935 3146 5870 6292 6457 7631 7865 11740 12914 15262 15730 25828 30524 31460 32285 38155 64570 71027 76310 83941 129140 142054 152620 167882 284108 335764 355135 419705 614827 710270 839410 923351 1229654 1420540 1678820 1846702 2459308 3074135 3693404 4616755 6148270 6763097 7992751 9233510 12296540 13526194 15985502 18467020 27052388 31971004 33815485 39963755 67630970 74394067 79927510 87920261 135261940 148788134 159855020 175840522 297576268 351681044 360903449 371970335 439601305 721806898 743940670 879202610 967122871 1443613796 1487881340 1758405220 1804517245 1934245742 3609034490 3868491484 3969937939 4691744837 4835614355 7218068980 7939875878 9383489674 9671228710 15879751756 18766979348 19342457420 19849689695 23458724185 39699379390 43669317329 46917448370 51609193207 79398758780 87338634658 93834896740 103218386414 174677269316 206436772828 218346586645 258045966035 436693173290 516091932070 567701125277 873386346580 1032183864140 1135402250554 2270804501108 2838505626385 5677011252770 11354022505540