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5607325971324 = 2232711101137146191
BaseRepresentation
bin101000110011000111010…
…1011000011001101111100
3201212001111012002002021200
41101212032223003031330
51213332300422040244
615531545303455500
71116054523225140
oct121461653031574
921761435062250
105607325971324
111872065367810
127668a2157590
133189cb71983c
1415557899b220
159acd57e7669
hex5198eac337c

5607325971324 has 288 divisors, whose sum is σ = 17976928499712. Its totient is φ = 1431492480000.

The previous prime is 5607325971307. The next prime is 5607325971329. The reversal of 5607325971324 is 4231795237065.

5607325971324 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 32 + 597 + 13 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5607325971329) 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, 38283069 + ... + 38429259.

It is an arithmetic number, because the mean of its divisors is an integer number (62419890624).

Almost surely, 25607325971324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5607325971324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988464249856).

5607325971324 is an abundant number, since it is smaller than the sum of its proper divisors (12369602528388).

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

5607325971324 is a wasteful number, since it uses less digits than its factorization.

5607325971324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146457 (or 146452 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5607325971324 in words is "five trillion, six hundred seven billion, three hundred twenty-five million, nine hundred seventy-one thousand, three hundred twenty-four".