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5435145210 = 2351166124917
BaseRepresentation
bin1010000111111010…
…11011101111111010
3112000210011222120110
411003331123233322
542112344121320
62255154005150
7251454654255
oct50375335772
915023158513
105435145210
112339aa8050
1210782767b6
13688057071
14397bb409c
1521c25d5e0
hex143f5bbfa

5435145210 has 64 divisors (see below), whose sum is σ = 14252298624. Its totient is φ = 1315564800.

The previous prime is 5435145193. The next prime is 5435145223. The reversal of 5435145210 is 125415345.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205672 + ... + 230588.

It is an arithmetic number, because the mean of its divisors is an integer number (222692166).

Almost surely, 25435145210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435145210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126149312).

5435145210 is an abundant number, since it is smaller than the sum of its proper divisors (8817153414).

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

5435145210 is a wasteful number, since it uses less digits than its factorization.

5435145210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25599.

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5435145210 is about 73723.4373181284. The cubic root of 5435145210 is about 1758.2085346064.

The spelling of 5435145210 in words is "five billion, four hundred thirty-five million, one hundred forty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 661 1322 1983 3305 3966 6610 7271 9915 14542 19830 21813 24917 36355 43626 49834 72710 74751 109065 124585 149502 218130 249170 274087 373755 548174 747510 822261 1370435 1644522 2740870 4111305 8222610 16470137 32940274 49410411 82350685 98820822 164701370 181171507 247052055 362343014 494104110 543514521 905857535 1087029042 1811715070 2717572605 5435145210