Search a number
-
+
11396634880 = 28561227643
BaseRepresentation
bin10101001110100101…
…01101100100000000
31002102020210001000011
422213102231210000
5141320014304010
65122513234304
7552263540521
oct124722554400
932366701004
1011396634880
114919115514
122260862994
1310c815b347
147a183a848
1546a7daa8a
hex2a74ad900

11396634880 has 144 divisors (see below), whose sum is σ = 27911588544. Its totient is φ = 4457226240.

The previous prime is 11396634863. The next prime is 11396634917. The reversal of 11396634880 is 8843669311.

It is a super-2 number, since 2×113966348802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17723839 + ... + 17724481.

It is an arithmetic number, because the mean of its divisors is an integer number (193830476).

Almost surely, 211396634880 is an apocalyptic number.

11396634880 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 11396634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955794272).

11396634880 is an abundant number, since it is smaller than the sum of its proper divisors (16514953664).

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

11396634880 is an equidigital number, since it uses as much as digits as its factorization.

11396634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 11396634880 in words is "eleven billion, three hundred ninety-six million, six hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 227 244 256 305 320 454 488 610 640 643 908 976 1135 1220 1280 1286 1816 1952 2270 2440 2572 3215 3632 3904 4540 4880 5144 6430 7264 7808 9080 9760 10288 12860 13847 14528 15616 18160 19520 20576 25720 27694 29056 36320 39040 39223 41152 51440 55388 58112 69235 72640 78080 78446 82304 102880 110776 138470 145280 145961 156892 164608 196115 205760 221552 276940 290560 291922 313784 392230 411520 443104 553880 583844 627568 729805 784460 823040 886208 1107760 1167688 1255136 1459610 1568920 1772416 2215520 2335376 2510272 2919220 3137840 3544832 4431040 4670752 5020544 5838440 6275680 8862080 8903621 9341504 10041088 11676880 12551360 17724160 17807242 18683008 23353760 25102720 35614484 37366016 44518105 46707520 50205440 71228968 89036210 93415040 142457936 178072420 186830080 284915872 356144840 569831744 712289680 1139663488 1424579360 2279326976 2849158720 5698317440 11396634880