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4098995010 = 2335116720599
BaseRepresentation
bin1111010001010001…
…1011001101000010
3101120122222112002000
43310110123031002
531343320320020
61514423404430
7203401611525
oct36424331502
911518875060
104098995010
111813859690
129648b3716
135042a2946
142ac562bbc
1518eccc090
hexf451b342

4098995010 has 128 divisors (see below), whose sum is σ = 12102912000. Its totient is φ = 978816960.

The previous prime is 4098995003. The next prime is 4098995063. The reversal of 4098995010 is 105998904.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188691 + ... + 209289.

It is an arithmetic number, because the mean of its divisors is an integer number (94554000).

Almost surely, 24098995010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098995010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051456000).

4098995010 is an abundant number, since it is smaller than the sum of its proper divisors (8003916990).

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

4098995010 is a wasteful number, since it uses less digits than its factorization.

4098995010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20693 (or 20687 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 4098995010 is about 64023.3942399183. The cubic root of 4098995010 is about 1600.3898802486.

The spelling of 4098995010 in words is "four billion, ninety-eight million, nine hundred ninety-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 67 90 99 110 134 135 165 198 201 270 297 330 335 402 495 594 603 670 737 990 1005 1206 1474 1485 1809 2010 2211 2970 3015 3618 3685 4422 6030 6633 7370 9045 11055 13266 18090 19899 20599 22110 33165 39798 41198 61797 66330 99495 102995 123594 185391 198990 205990 226589 308985 370782 453178 556173 617970 679767 926955 1112346 1132945 1359534 1380133 1853910 2039301 2265890 2760266 2780865 3398835 4078602 4140399 5561730 6117903 6797670 6900665 8280798 10196505 12235806 12421197 13801330 15181463 20393010 20701995 24842394 30362926 30589515 37263591 41403990 45544389 61179030 62105985 74527182 75907315 91088778 124211970 136633167 151814630 186317955 227721945 273266334 372635910 409899501 455443890 683165835 819799002 1366331670 2049497505 4098995010