Search a number
-
+
11801743360 = 21251152387
BaseRepresentation
bin10101111110111000…
…00101000000000000
31010110111001200100221
422333130011000000
5143132221241420
65231024152424
7565313110021
oct127734050000
933414050327
1011801743360
11500685a510
122354468714
13116106abc4
147dd570c48
1549115ccaa
hex2bf705000

11801743360 has 104 divisors (see below), whose sum is σ = 30895927776. Its totient is φ = 4291461120.

The previous prime is 11801743271. The next prime is 11801743397. The reversal of 11801743360 is 6334710811.

It is a super-2 number, since 2×118017433602 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199087 + ... + 251473.

Almost surely, 211801743360 is an apocalyptic number.

11801743360 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 11801743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447963888).

11801743360 is an abundant number, since it is smaller than the sum of its proper divisors (19094184416).

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

11801743360 is an equidigital number, since it uses as much as digits as its factorization.

11801743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52427 (or 52405 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

It can be divided in two parts, 11801 and 743360, that added together give a square (755161 = 8692).

The spelling of 11801743360 in words is "eleven billion, eight hundred one million, seven hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 10240 11264 14080 20480 22528 28160 45056 52387 56320 104774 112640 209548 225280 261935 419096 523870 576257 838192 1047740 1152514 1676384 2095480 2305028 2881285 3352768 4190960 4610056 5762570 6705536 8381920 9220112 11525140 13411072 16763840 18440224 23050280 26822144 33527680 36880448 46100560 53644288 67055360 73760896 92201120 107288576 134110720 147521792 184402240 214577152 268221440 295043584 368804480 536442880 590087168 737608960 1072885760 1180174336 1475217920 2360348672 2950435840 5900871680 11801743360