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379923796224 = 283377852261
BaseRepresentation
bin1011000011101010011…
…10010001000100000000
31100022122112122112211000
411201311032101010000
522211040442434344
6450311245252000
736306602661450
oct5416516210400
91308575575730
10379923796224
11137141095355
126176b864000
1329a9923221b
1414561b21d60
159d39128a69
hex5875391100

379923796224 has 144 divisors (see below), whose sum is σ = 1284001882240. Its totient is φ = 108549642240.

The previous prime is 379923796223. The next prime is 379923796237. The reversal of 379923796224 is 422697329973.

379923796224 is a `hidden beast` number, since 3 + 7 + 99 + 237 + 96 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (379923796223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877747 + ... + 3974514.

Almost surely, 2379923796224 is an apocalyptic number.

It is an amenable number.

379923796224 is an abundant number, since it is smaller than the sum of its proper divisors (904078086016).

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

379923796224 is an equidigital number, since it uses as much as digits as its factorization.

379923796224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852293 (or 7852273 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 379923796224 in words is "three hundred seventy-nine billion, nine hundred twenty-three million, seven hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 7852261 15704522 23556783 31409044 47113566 54965827 62818088 70670349 94227132 109931654 125636176 141340698 164897481 188454264 212011047 219863308 251272352 282681396 329794962 376908528 424022094 439726616 494692443 502544704 565362792 659589924 753817056 848044188 879453232 989384886 1005089408 1130725584 1319179848 1484077329 1507634112 1696088376 1758906464 1978769772 2010178816 2261451168 2638359696 2968154658 3015268224 3392176752 3517812928 3957539544 4522902336 5276719392 5936309316 6030536448 6784353504 7035625856 7915079088 9045804672 10553438784 11872618632 13568707008 14071251712 15830158176 18091609344 21106877568 23745237264 27137414016 31660316352 42213755136 47490474528 54274828032 63320632704 94980949056 126641265408 189961898112 379923796224