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332667000000 = 263556372
BaseRepresentation
bin1001101011101000111…
…11111001010011000000
31011210200010122120100000
410311310133321103000
520422300223000000
6412454120200000
733014540562366
oct4656437712300
91153603576300
10332667000000
111190a0937965
1254581609000
13254a78c4aca
141215b86d636
1589c0500000
hex4d747f94c0

332667000000 has 882 divisors, whose sum is σ = 1270350848676. Its totient is φ = 86313600000.

The previous prime is 332666999971. The next prime is 332667000013. The reversal of 332667000000 is 766233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×3326670000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 8990999982 + ... + 8991000018.

Almost surely, 2332667000000 is an apocalyptic number.

332667000000 is a gapful number since it is divisible by the number (30) 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 332667000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635175424338).

332667000000 is an abundant number, since it is smaller than the sum of its proper divisors (937683848676).

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

332667000000 is an frugal number, since it uses more digits than its factorization.

332667000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Multiplying 332667000000 by its sum of digits (27), we get a square (8982009000000 = 29970002).

332667000000 divided by its sum of digits (27) gives a square (12321000000 = 1110002).

Adding to 332667000000 its reverse (766233), we get a palindrome (332667766233).

The spelling of 332667000000 in words is "three hundred thirty-two billion, six hundred sixty-seven million", and thus it is an aban number.