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11973742720 = 27529645137
BaseRepresentation
bin10110010011011000…
…01101000010000000
31010220110201011010121
423021230031002000
5144010234231340
65300050510024
7602502063622
oct131154150200
933813634117
1011973742720
115094958145
1223a1b95314
13118a8a0284
14818344c12
154a12d594a
hex2c9b0d080

11973742720 has 64 divisors (see below), whose sum is σ = 29611834200. Its totient is φ = 4624334848.

The previous prime is 11973742699. The next prime is 11973742721. The reversal of 11973742720 is 2724737911.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6939556416 + 5034186304 = 83304^2 + 70952^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11973742721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304009 + ... + 341128.

Almost surely, 211973742720 is an apocalyptic number.

11973742720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11973742720 is an abundant number, since it is smaller than the sum of its proper divisors (17638091480).

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

11973742720 is an equidigital number, since it uses as much as digits as its factorization.

11973742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645185 (or 645173 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The spelling of 11973742720 in words is "eleven billion, nine hundred seventy-three million, seven hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 645137 1290274 2580548 3225685 5161096 6451370 10322192 12902740 18708973 20644384 25805480 37417946 41288768 51610960 74835892 82577536 93544865 103221920 149671784 187089730 206443840 299343568 374179460 412887680 598687136 748358920 1197374272 1496717840 2394748544 2993435680 5986871360 11973742720