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44906428260 = 2232531113229311
BaseRepresentation
bin101001110100101000…
…011011011101100100
311021220121100220202200
4221310220123131210
51213432021201020
632344004334500
73146552225241
oct516450333544
9137817326680
1044906428260
1118054565231
1288530a4430
13430870b555
1422600725c8
15127c608590
hexa74a1b764

44906428260 has 288 divisors, whose sum is σ = 142932142080. Its totient is φ = 11399270400.

The previous prime is 44906428249. The next prime is 44906428261. The reversal of 44906428260 is 6282460944.

44906428260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (44906428261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144393505 + ... + 144393815.

It is an arithmetic number, because the mean of its divisors is an integer number (496292160).

Almost surely, 244906428260 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 44906428260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71466071040).

44906428260 is an abundant number, since it is smaller than the sum of its proper divisors (98025713820).

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

44906428260 is a wasteful number, since it uses less digits than its factorization.

44906428260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 44906428260 in words is "forty-four billion, nine hundred six million, four hundred twenty-eight thousand, two hundred sixty".