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2135262690 = 23251111319087
BaseRepresentation
bin111111101000101…
…1000010111100010
312111210212120202100
41333101120113202
513333111401230
6551514031230
7103625301441
oct17721302742
95453776670
102135262690
119a6333510
124b7118516
132804b6362
14163828d58
15c76d0660
hex7f4585e2

2135262690 has 96 divisors (see below), whose sum is σ = 6110297856. Its totient is φ = 513031680.

The previous prime is 2135262601. The next prime is 2135262751. The reversal of 2135262690 is 962625312.

2135262690 is a `hidden beast` number, since 21 + 3 + 5 + 2 + 626 + 9 + 0 = 666.

It is a super-2 number, since 2×21352626902 = 9118693510612072200, which contains 22 as substring.

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, 102327 + ... + 121413.

It is an arithmetic number, because the mean of its divisors is an integer number (63648936).

Almost surely, 22135262690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135262690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055148928).

2135262690 is an abundant number, since it is smaller than the sum of its proper divisors (3975035166).

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

2135262690 is a wasteful number, since it uses less digits than its factorization.

2135262690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19224 (or 19221 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2135262690 is about 46208.9027136546. The cubic root of 2135262690 is about 1287.7071403299.

The spelling of 2135262690 in words is "two billion, one hundred thirty-five million, two hundred sixty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 113 165 198 226 330 339 495 565 678 990 1017 1130 1243 1695 2034 2486 3390 3729 5085 6215 7458 10170 11187 12430 18645 19087 22374 37290 38174 55935 57261 95435 111870 114522 171783 190870 209957 286305 343566 419914 572610 629871 858915 1049785 1259742 1717830 1889613 2099570 2156831 3149355 3779226 4313662 6298710 6470493 9448065 10784155 12940986 18896130 19411479 21568310 23725141 32352465 38822958 47450282 64704930 71175423 97057395 118625705 142350846 194114790 213526269 237251410 355877115 427052538 711754230 1067631345 2135262690