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2169640368 = 2432717126613
BaseRepresentation
bin1000000101010010…
…0001010110110000
312121012120011001200
42001110201112300
513420411442433
6555142531200
7104523432060
oct20124412660
95535504050
102169640368
11a13783a15
12506736b00
13287661a8c
141682173a0
15ca721613
hex815215b0

2169640368 has 120 divisors (see below), whose sum is σ = 7347663648. Its totient is φ = 583428096.

The previous prime is 2169640321. The next prime is 2169640387. The reversal of 2169640368 is 8630469612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46171 + ... + 80442.

Almost surely, 22169640368 is an apocalyptic number.

2169640368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2169640368 is an abundant number, since it is smaller than the sum of its proper divisors (5178023280).

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

2169640368 is a wasteful number, since it uses less digits than its factorization.

2169640368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126651 (or 126642 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2169640368 is about 46579.3985362628. The cubic root of 2169640368 is about 1294.5810659220.

The spelling of 2169640368 in words is "two billion, one hundred sixty-nine million, six hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 126613 253226 379839 506452 759678 886291 1012904 1139517 1519356 1772582 2025808 2152421 2279034 2658873 3038712 3545164 4304842 4558068 5317746 6077424 6457263 7090328 7976619 8609684 9116136 10635492 12914526 14180656 15066947 15953238 17219368 18232272 19371789 21270984 25829052 30133894 31906476 34438736 38743578 42541968 45200841 51658104 60267788 63812952 77487156 90401682 103316208 120535576 127625904 135602523 154974312 180803364 241071152 271205046 309948624 361606728 542410092 723213456 1084820184 2169640368