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45941240010 = 23529157133613
BaseRepresentation
bin101010110010010011…
…111011000011001010
311101120201112210121210
4222302103323003022
51223041424140020
633034412113550
73214316045151
oct526223730312
9141521483553
1045941240010
11185356a5656
128aa17658b6
134441c168b3
14231b682598
1512dd3b43e0
hexab24fb0ca

45941240010 has 64 divisors (see below), whose sum is σ = 114137009280. Its totient is φ = 11820668160.

The previous prime is 45941239987. The next prime is 45941240029. The reversal of 45941240010 is 1004214954.

45941240010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459412400102 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45941240010.

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, 1349964 + ... + 1383576.

It is an arithmetic number, because the mean of its divisors is an integer number (1783390770).

Almost surely, 245941240010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45941240010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57068504640).

45941240010 is an abundant number, since it is smaller than the sum of its proper divisors (68195769270).

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

45941240010 is a wasteful number, since it uses less digits than its factorization.

45941240010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35223.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 45941240010 its reverse (1004214954), we get a palindrome (46945454964).

The spelling of 45941240010 in words is "forty-five billion, nine hundred forty-one million, two hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1571 3142 4713 7855 9426 15710 23565 33613 45559 47130 67226 91118 100839 136677 168065 201678 227795 273354 336130 455590 504195 683385 974777 1008390 1366770 1949554 2924331 4873885 5848662 9747770 14621655 29243310 52806023 105612046 158418069 264030115 316836138 528060230 792090345 1531374667 1584180690 3062749334 4594124001 7656873335 9188248002 15313746670 22970620005 45941240010