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4106435652 = 22321145722691
BaseRepresentation
bin1111010011000011…
…0011110001000100
3101121011222112201100
43310300303301010
531402221420102
61515251100100
7203522061414
oct36460636104
911534875640
104106435652
111817a80980
129672a1630
135059a95a7
142ad53c644
1519079ba1c
hexf4c33c44

4106435652 has 72 divisors (see below), whose sum is σ = 11349086112. Its totient is φ = 1241596800.

The previous prime is 4106435611. The next prime is 4106435681. The reversal of 4106435652 is 2565346014.

4106435652 is a `hidden beast` number, since 4 + 1 + 0 + 643 + 5 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169627 + ... + 192317.

It is an arithmetic number, because the mean of its divisors is an integer number (157626196).

Almost surely, 24106435652 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 4106435652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674543056).

4106435652 is an abundant number, since it is smaller than the sum of its proper divisors (7242650460).

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

4106435652 is a wasteful number, since it uses less digits than its factorization.

4106435652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23169 (or 23164 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4106435652 is about 64081.4766683790. The cubic root of 4106435652 is about 1601.3576565088.

The spelling of 4106435652 in words is "four billion, one hundred six million, four hundred thirty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 457 914 1371 1828 2742 4113 5027 5484 8226 10054 15081 16452 20108 22691 30162 45243 45382 60324 68073 90486 90764 136146 180972 204219 249601 272292 408438 499202 748803 816876 998404 1497606 2246409 2995212 4492818 8985636 10369787 20739574 31109361 41479148 62218722 93328083 114067657 124437444 186656166 228135314 342202971 373312332 456270628 684405942 1026608913 1368811884 2053217826 4106435652