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3327920388576 = 253117211981
BaseRepresentation
bin110000011011010111100…
…000110011100111100000
3102210010221111100000000000
4300123113200303213200
5414011040104413301
611024454151300000
7462301653366300
oct60332740634740
912703844300000
103327920388576
1110733aa334183
12458b8197a600
131b1a8ac23ca4
14b71021c3600
155b878190786
hex306d78339e0

3327920388576 has 432 divisors, whose sum is σ = 11433230630640. Its totient is φ = 950755034880.

The previous prime is 3327920388557. The next prime is 3327920388577. The reversal of 3327920388576 is 6758830297233.

3327920388576 is a `hidden beast` number, since 3 + 3 + 2 + 7 + 9 + 20 + 38 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×33279203885762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3327920388577) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277760506 + ... + 277772486.

It is an arithmetic number, because the mean of its divisors is an integer number (26465811645).

Almost surely, 23327920388576 is an apocalyptic number.

3327920388576 is a gapful number since it is divisible by the number (36) 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 3327920388576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716615315320).

3327920388576 is an abundant number, since it is smaller than the sum of its proper divisors (8105310242064).

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

3327920388576 is an frugal number, since it uses more digits than its factorization.

3327920388576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12038 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3327920388576 in words is "three trillion, three hundred twenty-seven billion, nine hundred twenty million, three hundred eighty-eight thousand, five hundred seventy-six".