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2136785490 = 2325714392357
BaseRepresentation
bin111111101011100…
…1100001001010010
312111220201221122100
41333113030021102
513334004113430
6552010421230
7103644243210
oct17727141122
95456657570
102136785490
119a7183624
124b7731816
132808ca518
14163b03cb0
15c78d1960
hex7f5cc252

2136785490 has 96 divisors (see below), whose sum is σ = 6356413440. Its totient is φ = 487861632.

The previous prime is 2136785473. The next prime is 2136785501. The reversal of 2136785490 is 945876312.

2136785490 is a `hidden beast` number, since 2 + 1 + 36 + 78 + 549 + 0 = 666.

2136785490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

2136785490 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905392 + ... + 907748.

It is an arithmetic number, because the mean of its divisors is an integer number (66212640).

It is a 1-persistent number, because it is pandigital, but 2⋅2136785490 = 4273570980 is not.

Almost surely, 22136785490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136785490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178206720).

2136785490 is an abundant number, since it is smaller than the sum of its proper divisors (4219627950).

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

2136785490 is a wasteful number, since it uses less digits than its factorization.

2136785490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2136785490 is about 46225.3771212307. The cubic root of 2136785490 is about 1288.0131845576.

The spelling of 2136785490 in words is "two billion, one hundred thirty-six million, seven hundred eighty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1439 2357 2878 4317 4714 7071 7195 8634 10073 11785 12951 14142 14390 16499 20146 21213 21585 23570 25902 30219 32998 35355 42426 43170 49497 50365 60438 64755 70710 82495 90657 98994 100730 106065 129510 148491 151095 164990 181314 212130 247485 296982 302190 453285 494970 742455 906570 1484910 3391723 6783446 10175169 16958615 20350338 23742061 30525507 33917230 47484122 50875845 61051014 71226183 101751690 118710305 142452366 152627535 213678549 237420610 305255070 356130915 427357098 712261830 1068392745 2136785490