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2136758490 = 2325711272633
BaseRepresentation
bin111111101011100…
…0101100011011010
312111220200120121100
41333113011203122
513334002232430
6552010052230
7103644101406
oct17727054332
95456616540
102136758490
119a7165309
124b771a076
132808bb149
14163ad8106
15c78c8960
hex7f5c58da

2136758490 has 96 divisors (see below), whose sum is σ = 5680336896. Its totient is φ = 557141760.

The previous prime is 2136758431. The next prime is 2136758531. The reversal of 2136758490 is 948576312.

2136758490 is a `hidden beast` number, since 2 + 1 + 3 + 67 + 584 + 9 + 0 = 666.

2136758490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

2136758490 is strictly pandigital in base 10.

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 47 ways as a sum of consecutive naturals, for example, 810214 + ... + 812846.

It is an arithmetic number, because the mean of its divisors is an integer number (59170176).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2136758490 = 4273516980, but 3⋅2136758490 = 6410275470 is not.

Almost surely, 22136758490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136758490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840168448).

2136758490 is an abundant number, since it is smaller than the sum of its proper divisors (3543578406).

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

2136758490 is a wasteful number, since it uses less digits than its factorization.

2136758490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2841 counting only the distinct ones).

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

The square root of 2136758490 is about 46225.0850729342. The cubic root of 2136758490 is about 1288.0077595079.

The spelling of 2136758490 in words is "two billion, one hundred thirty-six million, seven hundred fifty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 127 142 213 254 355 381 426 635 639 710 762 1065 1143 1270 1278 1905 2130 2286 2633 3195 3810 5266 5715 6390 7899 9017 11430 13165 15798 18034 23697 26330 27051 39495 45085 47394 54102 78990 81153 90170 118485 135255 162306 186943 236970 270510 334391 373886 405765 560829 668782 811530 934715 1003173 1121658 1671955 1682487 1869430 2006346 2804145 3009519 3343910 3364974 5015865 5608290 6019038 8412435 10031730 15047595 16824870 23741761 30095190 47483522 71225283 118708805 142450566 213675849 237417610 356126415 427351698 712252830 1068379245 2136758490