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11550255200 = 25521110312743
BaseRepresentation
bin10101100000111001…
…01110100001100000
31002210221211202110122
422300130232201200
5142123331131300
65150042015412
7556140356261
oct126034564140
932727752418
1011550255200
1149978aa760
1222a41a7568
131120c27043
147b7dc8968
15479032c85
hex2b072e860

11550255200 has 144 divisors (see below), whose sum is σ = 31061511936. Its totient is φ = 4158988800.

The previous prime is 11550255149. The next prime is 11550255251. The reversal of 11550255200 is 255205511.

It is an interprime number because it is at equal distance from previous prime (11550255149) and next prime (11550255251).

It is a self number, because there is not a number n which added to its sum of digits gives 11550255200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900029 + ... + 912771.

It is an arithmetic number, because the mean of its divisors is an integer number (215704944).

Almost surely, 211550255200 is an apocalyptic number.

11550255200 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 11550255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530755968).

11550255200 is an abundant number, since it is smaller than the sum of its proper divisors (19511256736).

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

11550255200 is a wasteful number, since it uses less digits than its factorization.

11550255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The spelling of 11550255200 in words is "eleven billion, five hundred fifty million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 103 110 160 176 200 206 220 275 352 400 412 440 515 550 800 824 880 1030 1100 1133 1648 1760 2060 2200 2266 2575 3296 4120 4400 4532 5150 5665 8240 8800 9064 10300 11330 12743 16480 18128 20600 22660 25486 28325 36256 41200 45320 50972 56650 63715 82400 90640 101944 113300 127430 140173 181280 203888 226600 254860 280346 318575 407776 453200 509720 560692 637150 700865 906400 1019440 1121384 1274300 1312529 1401730 2038880 2242768 2548600 2625058 2803460 3504325 4485536 5097200 5250116 5606920 6562645 7008650 10194400 10500232 11213840 13125290 14017300 14437819 21000464 22427680 26250580 28034600 28875638 32813225 42000928 52501160 56069200 57751276 65626450 72189095 105002320 112138400 115502552 131252900 144378190 210004640 231005104 262505800 288756380 360945475 462010208 525011600 577512760 721890950 1050023200 1155025520 1443781900 2310051040 2887563800 5775127600 11550255200