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210049383006 = 23359672294297
BaseRepresentation
bin1100001110011111101…
…0110011101001011110
3202002011200222020101000
43003213322303221132
511420140120224011
6240254555131130
721114135203511
oct3034772635136
9662150866330
10210049383006
1181099445411
1234861143aa6
1316a66309c58
14a248a1ad78
1556e5839356
hex30e7eb3a5e

210049383006 has 128 divisors (see below), whose sum is σ = 483989184000. Its totient is φ = 67490641152.

The previous prime is 210049383001. The next prime is 210049383013. The reversal of 210049383006 is 600383940012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210049383001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48880650 + ... + 48884946.

It is an arithmetic number, because the mean of its divisors is an integer number (3781165500).

Almost surely, 2210049383006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210049383006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241994592000).

210049383006 is an abundant number, since it is smaller than the sum of its proper divisors (273939800994).

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

210049383006 is a wasteful number, since it uses less digits than its factorization.

210049383006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 210049383006 in words is "two hundred ten billion, forty-nine million, three hundred eighty-three thousand, six".

Divisors: 1 2 3 6 9 18 27 54 59 67 118 134 177 201 229 354 402 458 531 603 687 1062 1206 1374 1593 1809 2061 3186 3618 3953 4122 4297 6183 7906 8594 11859 12366 12891 13511 15343 23718 25782 27022 30686 35577 38673 40533 46029 71154 77346 81066 92058 106731 116019 121599 138087 213462 232038 243198 253523 276174 287899 364797 414261 507046 575798 729594 760569 828522 863697 905237 984013 1521138 1727394 1810474 1968026 2281707 2591091 2715711 2952039 4563414 5182182 5431422 5904078 6845121 7773273 8147133 8856117 13690242 15546546 16294266 16986041 17712234 24441399 26568351 33972082 48882798 50958123 53136702 58056767 65928871 101916246 116113534 131857742 152874369 174170301 197786613 305748738 348340602 395573226 458623107 522510903 593359839 917246214 1045021806 1186719678 1567532709 1780079517 3135065418 3560159034 3889803389 7779606778 11669410167 23338820334 35008230501 70016461002 105024691503 210049383006