Search a number
-
+
4153013700 = 22352116132053
BaseRepresentation
bin1111011110001001…
…1111010111000100
3101201102121221210020
43313202133113010
532001132414300
61524033255140
7204626014443
oct36742372704
911642557706
104153013700
1118412a4730
1297aa044b0
13512537274
142b57c4d5a
151948ec8a0
hexf789f5c4

4153013700 has 144 divisors (see below), whose sum is σ = 13136200896. Its totient is φ = 1004659200.

The previous prime is 4153013617. The next prime is 4153013707. The reversal of 4153013700 is 73103514.

It is not an unprimeable number, because it can be changed into a prime (4153013707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021874 + ... + 2023926.

Almost surely, 24153013700 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 4153013700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568100448).

4153013700 is an abundant number, since it is smaller than the sum of its proper divisors (8983187196).

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

4153013700 is a wasteful number, since it uses less digits than its factorization.

4153013700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 4153013700 is about 64443.8802369938. The cubic root of 4153013700 is about 1607.3894785694.

The spelling of 4153013700 in words is "four billion, one hundred fifty-three million, thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 613 660 825 1100 1226 1650 1839 2053 2452 3065 3300 3678 4106 6130 6159 6743 7356 8212 9195 10265 12260 12318 13486 15325 18390 20229 20530 22583 24636 26972 30650 30795 33715 36780 40458 41060 45166 45975 51325 61300 61590 67430 67749 80916 90332 91950 101145 102650 112915 123180 134860 135498 153975 168575 183900 202290 205300 225830 270996 307950 337150 338745 404580 451660 505725 564575 615900 674300 677490 1011450 1129150 1258489 1354980 1693725 2022900 2258300 2516978 3387450 3775467 5033956 6292445 6774900 7550934 12584890 13843379 15101868 18877335 25169780 27686758 31462225 37754670 41530137 55373516 62924450 69216895 75509340 83060274 94386675 125848900 138433790 166120548 188773350 207650685 276867580 346084475 377546700 415301370 692168950 830602740 1038253425 1384337900 2076506850 4153013700