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3332441479680 = 293254130711491
BaseRepresentation
bin110000011111100100111…
…111011001101000000000
3102210120121120120020001200
4300133210333121220000
5414044320004322210
611030522534101200
7462522002132025
oct60374477315000
912716546506050
103332441479680
11107530a37a905
12459a23aaa800
131b232b7a3721
14b741081d54c
155ba400480c0
hex307e4fd9a00

3332441479680 has 480 divisors, whose sum is σ = 11862216894528. Its totient is φ = 864077414400.

The previous prime is 3332441479673. The next prime is 3332441479693. The reversal of 3332441479680 is 869741442333.

It is a happy number.

3332441479680 is a `hidden beast` number, since 3 + 3 + 32 + 441 + 4 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×33324414796802 (a number of 26 digits) contains 22 as substring.

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, 289998735 + ... + 290010225.

Almost surely, 23332441479680 is an apocalyptic number.

3332441479680 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 3332441479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931108447264).

3332441479680 is an abundant number, since it is smaller than the sum of its proper divisors (8529775414848).

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

3332441479680 is a wasteful number, since it uses less digits than its factorization.

3332441479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3332441479680 in words is "three trillion, three hundred thirty-two billion, four hundred forty-one million, four hundred seventy-nine thousand, six hundred eighty".