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93303211232 = 2573111989457
BaseRepresentation
bin101011011100101001…
…1100000010011100000
322220211110110020002002
41112321103200103200
53012041110224412
6110510215343132
76512066132000
oct1267123402340
9286743406062
1093303211232
113662a259630
12160bb081aa8
138a4c28a13a
1447318b2000
152661365dc2
hex15b94e04e0

93303211232 has 384 divisors, whose sum is σ = 249298560000. Its totient is φ = 33977180160.

The previous prime is 93303211201. The next prime is 93303211237. The reversal of 93303211232 is 23211230339.

It is a junction number, because it is equal to n+sod(n) for n = 93303211195 and 93303211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93303211237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204164348 + ... + 204164804.

It is an arithmetic number, because the mean of its divisors is an integer number (649215000).

Almost surely, 293303211232 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 93303211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280000).

93303211232 is an abundant number, since it is smaller than the sum of its proper divisors (155995348768).

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

93303211232 is a wasteful number, since it uses less digits than its factorization.

93303211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 93303211232 in words is "ninety-three billion, three hundred three million, two hundred eleven thousand, two hundred thirty-two".