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35480348904 = 233711213316171
BaseRepresentation
bin100001000010110010…
…110010100011101000
310101120200112110202110
4201002302302203220
51040130432131104
624144403002320
72364143663310
oct410262624350
9111520473673
1035480348904
1114057806300
126a623693a0
1334658b83c0
141a08228440
15dc9d15e89
hex842cb28e8

35480348904 has 768 divisors, whose sum is σ = 127671828480. Its totient is φ = 7983360000.

The previous prime is 35480348879. The next prime is 35480348923. The reversal of 35480348904 is 40984308453.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 499723189 + ... + 499723259.

It is an arithmetic number, because the mean of its divisors is an integer number (166239360).

Almost surely, 235480348904 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 35480348904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835914240).

35480348904 is an abundant number, since it is smaller than the sum of its proper divisors (92191479576).

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

35480348904 is a wasteful number, since it uses less digits than its factorization.

35480348904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 35480348904 in words is "thirty-five billion, four hundred eighty million, three hundred forty-eight thousand, nine hundred four".