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93843401904 = 243371719293313
BaseRepresentation
bin101011101100110000…
…0001010110010110000
322222020002220202101000
41113121200022302300
53014142402330104
6111035553442000
76531345516630
oct1273140126260
9288202822330
1093843401904
11368871768aa
121622bb70300
138b071747a5
14478352a6c0
1526939bc639
hex15d980acb0

93843401904 has 640 divisors, whose sum is σ = 355048704000. Its totient is φ = 23075684352.

The previous prime is 93843401857. The next prime is 93843401909. The reversal of 93843401904 is 40910434839.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 93843401904.

It is not an unprimeable number, because it can be changed into a prime (93843401909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28324152 + ... + 28327464.

It is an arithmetic number, because the mean of its divisors is an integer number (554763600).

Almost surely, 293843401904 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 93843401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177524352000).

93843401904 is an abundant number, since it is smaller than the sum of its proper divisors (261205302096).

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

93843401904 is a wasteful number, since it uses less digits than its factorization.

93843401904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 93843401904 in words is "ninety-three billion, eight hundred forty-three million, four hundred one thousand, nine hundred four".