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287923130352 = 24321113113123737
BaseRepresentation
bin1000011000010011000…
…11100100111111110000
31000112011212011111001200
410030021203210333300
514204131310132402
6340134155531200
726542001141004
oct4141143447760
91015155144050
10287923130352
111011201123a0
1247974a59b00
13211c6a917b0
14dd15234704
15775230721c
hex43098e4ff0

287923130352 has 240 divisors, whose sum is σ = 955041560928. Its totient is φ = 79824568320.

The previous prime is 287923130317. The next prime is 287923130413. The reversal of 287923130352 is 253031329782.

287923130352 is a `hidden beast` number, since 2 + 87 + 92 + 3 + 130 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 287923130298 and 287923130307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2265028 + ... + 2388764.

Almost surely, 2287923130352 is an apocalyptic number.

287923130352 is a gapful number since it is divisible by the number (22) 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 287923130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477520780464).

287923130352 is an abundant number, since it is smaller than the sum of its proper divisors (667118430576).

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

287923130352 is a wasteful number, since it uses less digits than its factorization.

287923130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123888 (or 123879 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 287923130352 in words is "two hundred eighty-seven billion, nine hundred twenty-three million, one hundred thirty thousand, three hundred fifty-two".