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403225175358096 = 243713273313310781
BaseRepresentation
bin101101110101110110010110…
…1010101110111101010010000
31221212200221122202200202222120
41123223230231111313222100
5410322420124342424341
63545331031023534240
7150635025512101050
oct13353545525675220
91855627582622876
10403225175358096
11107530922481743
12392838a745a380
13143cbc81040400
1471802b9db5560
153193c2b0a7066
hex16ebb2d577a90

403225175358096 has 480 divisors, whose sum is σ = 1310931463087872. Its totient is φ = 104552876113920.

The previous prime is 403225175358091. The next prime is 403225175358107. The reversal of 403225175358096 is 690853571522304.

It is not an unprimeable number, because it can be changed into a prime (403225175358091) 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, 1297302226 + ... + 1297613006.

It is a 2-persistent number, because it is pandigital, and so is 2⋅403225175358096 = 806450350716192, but 3⋅403225175358096 = 1209675526074288 is not.

Almost surely, 2403225175358096 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 403225175358096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655465731543936).

403225175358096 is an abundant number, since it is smaller than the sum of its proper divisors (907706287729776).

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

403225175358096 is a wasteful number, since it uses less digits than its factorization.

403225175358096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311211 (or 311192 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 403225175358096 in words is "four hundred three trillion, two hundred twenty-five billion, one hundred seventy-five million, three hundred fifty-eight thousand, ninety-six".