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11707240000 = 26545412
BaseRepresentation
bin10101110011100111…
…00100111001000000
31010012220020102010111
422321303210321000
5142434023140000
65213410441104
7563054620021
oct127163447100
933186212114
1011707240000
114a68482765
122328893194
131147600261
147d0bb0c48
15487be1cba
hex2b9ce4e40

11707240000 has 105 divisors (see below), whose sum is σ = 29083909701. Its totient is φ = 4674240000.

The previous prime is 11707239997. The next prime is 11707240003. The reversal of 11707240000 is 4270711.

The square root of 11707240000 is 108200.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11707239997) and next prime (11707240003).

It can be written as a sum of positive squares in 7 ways, for example, as 9947269696 + 1759970304 = 99736^2 + 41952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11707240003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21639730 + ... + 21640270.

Almost surely, 211707240000 is an apocalyptic number.

11707240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11707240000 is the 108200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11707240000

11707240000 is an abundant number, since it is smaller than the sum of its proper divisors (17376669701).

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

11707240000 is an frugal number, since it uses more digits than its factorization.

11707240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The spelling of 11707240000 in words is "eleven billion, seven hundred seven million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 541 625 800 1000 1082 1250 1600 2000 2164 2500 2705 4000 4328 5000 5410 8000 8656 10000 10820 13525 17312 20000 21640 27050 34624 40000 43280 54100 67625 86560 108200 135250 173120 216400 270500 292681 338125 432800 541000 585362 676250 865600 1082000 1170724 1352500 1463405 2164000 2341448 2705000 2926810 4328000 4682896 5410000 5853620 7317025 9365792 10820000 11707240 14634050 18731584 21640000 23414480 29268100 36585125 46828960 58536200 73170250 93657920 117072400 146340500 182925625 234144800 292681000 365851250 468289600 585362000 731702500 1170724000 1463405000 2341448000 2926810000 5853620000 11707240000