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2126138490 = 233571766173
BaseRepresentation
bin111111010111010…
…0100110001111010
312111011201000201000
41332232210301322
513323242412430
6550550305430
7103454610330
oct17656446172
95434630630
102126138490
119a1171353
124b4058276
1327b640318
14162531b50
15c69cbe60
hex7eba4c7a

2126138490 has 128 divisors (see below), whose sum is σ = 6860920320. Its totient is φ = 457380864.

The previous prime is 2126138489. The next prime is 2126138501. The reversal of 2126138490 is 948316212.

2126138490 is a `hidden beast` number, since 212 + 61 + 384 + 9 + 0 = 666.

It is a super-3 number, since 3×21261384903 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 957 + ... + 65216.

It is an arithmetic number, because the mean of its divisors is an integer number (53600940).

Almost surely, 22126138490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126138490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430460160).

2126138490 is an abundant number, since it is smaller than the sum of its proper divisors (4734781830).

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

2126138490 is a wasteful number, since it uses less digits than its factorization.

2126138490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66213 (or 66207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2126138490 is about 46110.0692907742. The cubic root of 2126138490 is about 1285.8703526423.

The spelling of 2126138490 in words is "two billion, one hundred twenty-six million, one hundred thirty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4590 5355 6426 10710 16065 32130 66173 132346 198519 330865 397038 463211 595557 661730 926422 992595 1124941 1191114 1389633 1786671 1985190 2249882 2316055 2779266 2977785 3374823 3573342 4168899 4632110 5624705 5955570 6749646 6948165 7874587 8337798 8933355 10124469 11249410 12506697 13896330 15749174 16874115 17866710 20248938 20844495 23623761 25013394 30373407 33748230 39372935 41688990 47247522 50622345 60746814 62533485 70871283 78745870 101244690 118118805 125066970 141742566 151867035 212613849 236237610 303734070 354356415 425227698 708712830 1063069245 2126138490