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382270897152 = 210364311909
BaseRepresentation
bin1011001000000010001…
…11101111110000000000
31100112201010010122000000
411210001013233300000
522230342322202102
6451340212000000
736422013004344
oct5440107576000
91315633118000
10382270897152
11138135a56a91
1262105900000
132a081589041
1414705731624
159e2520101c
hex59011efc00

382270897152 has 308 divisors, whose sum is σ = 1172471898840. Its totient is φ = 124449841152.

The previous prime is 382270897133. The next prime is 382270897163. The reversal of 382270897152 is 251798072283.

382270897152 is a `hidden beast` number, since 382 + 2 + 70 + 89 + 71 + 52 = 666.

It is a super-2 number, since 2×3822708971522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32093374 + ... + 32105282.

Almost surely, 2382270897152 is an apocalyptic number.

382270897152 is a gapful number since it is divisible by the number (32) 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 382270897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586235949420).

382270897152 is an abundant number, since it is smaller than the sum of its proper divisors (790201001688).

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

382270897152 is an equidigital number, since it uses as much as digits as its factorization.

382270897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 382270897152 in words is "three hundred eighty-two billion, two hundred seventy million, eight hundred ninety-seven thousand, one hundred fifty-two".