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35250660480 = 2735719316173
BaseRepresentation
bin100000110101000110…
…100110010010000000
310100222200100002110210
4200311012212102000
51034143132113410
624105515554120
72355354445620
oct406506462200
9110880302423
1035250660480
1113a4a095a62
1269b945b940
13342a137ba9
1419c5918880
15db4a95220
hex8351a6480

35250660480 has 1024 divisors, whose sum is σ = 143762227200. Its totient is φ = 7166361600.

The previous prime is 35250660479. The next prime is 35250660503. The reversal of 35250660480 is 8406605253.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482885724 + ... + 482885796.

It is an arithmetic number, because the mean of its divisors is an integer number (140392800).

Almost surely, 235250660480 is an apocalyptic number.

35250660480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35250660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71881113600).

35250660480 is an abundant number, since it is smaller than the sum of its proper divisors (108511566720).

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

35250660480 is a wasteful number, since it uses less digits than its factorization.

35250660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 35250660480 in words is "thirty-five billion, two hundred fifty million, six hundred sixty thousand, four hundred eighty".