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332725438368 = 2533385098887
BaseRepresentation
bin1001101011101111111…
…10110100011110100000
31011210211012121112201000
410311313332310132200
520422410203011433
6412504004512000
733016150363551
oct4656776643640
91153735545630
10332725438368
11119120921534
12545990ab600
13254b6a4601b
1412165522328
1589c56e5113
hex4d77fb47a0

332725438368 has 48 divisors (see below), whose sum is σ = 970449197760. Its totient is φ = 110908479168.

The previous prime is 332725438349. The next prime is 332725438379. The reversal of 332725438368 is 863834527233.

332725438368 is a `hidden beast` number, since 3 + 3 + 2 + 7 + 254 + 383 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3327254383682 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192548580 + ... + 192550307.

It is an arithmetic number, because the mean of its divisors is an integer number (20217691620).

Almost surely, 2332725438368 is an apocalyptic number.

It is an amenable number.

332725438368 is an abundant number, since it is smaller than the sum of its proper divisors (637723759392).

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

332725438368 is a wasteful number, since it uses less digits than its factorization.

332725438368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385098906 (or 385098892 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 332725438368 in words is "three hundred thirty-two billion, seven hundred twenty-five million, four hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 385098887 770197774 1155296661 1540395548 2310593322 3080791096 3465889983 4621186644 6161582192 6931779966 9242373288 10397669949 12323164384 13863559932 18484746576 20795339898 27727119864 36969493152 41590679796 55454239728 83181359592 110908479456 166362719184 332725438368