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325340028168192 = 21135171731991117
BaseRepresentation
bin100100111111001010010000…
…0110011110110100000000000
31120122221012110221111212200000
41021332110200303312200000
5320120332334202340232
63111535051242400000
7125346020121146352
oct11176244063664000
91518835427455600
10325340028168192
1194732a27338554
12305a50b1200000
1310c6c58244421b
145a4a78179d0d2
152792c927c327c
hex127e520cf6800

325340028168192 has 1152 divisors, whose sum is σ = 1043875830816000. Its totient is φ = 100877145735168.

The previous prime is 325340028168173. The next prime is 325340028168193. The reversal of 325340028168192 is 291861820043523.

325340028168192 is a `hidden beast` number, since 3 + 2 + 5 + 340 + 0 + 281 + 6 + 8 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×3253400281681923 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (325340028168193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291262334418 + ... + 291262335534.

It is an arithmetic number, because the mean of its divisors is an integer number (906142214250).

Almost surely, 2325340028168192 is an apocalyptic number.

325340028168192 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 325340028168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521937915408000).

325340028168192 is an abundant number, since it is smaller than the sum of its proper divisors (718535802647808).

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

325340028168192 is a wasteful number, since it uses less digits than its factorization.

325340028168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 325340028168192 in words is "three hundred twenty-five trillion, three hundred forty billion, twenty-eight million, one hundred sixty-eight thousand, one hundred ninety-two".