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20696546400 = 2535279109159
BaseRepresentation
bin10011010001100111…
…000011110001100000
31222102101012111021120
4103101213003301200
5314341303441100
613301410452240
71331610512265
oct232147036140
958371174246
1020696546400
11886072a702
124017294080
131c4aaa807a
141004a0126c
15811eaa0a0
hex4d19c3c60

20696546400 has 144 divisors (see below), whose sum is σ = 68220633600. Its totient is φ = 5449167360.

The previous prime is 20696546383. The next prime is 20696546407. The reversal of 20696546400 is 464569602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20696546407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135021 + ... + 244179.

It is an arithmetic number, because the mean of its divisors is an integer number (473754400).

Almost surely, 220696546400 is an apocalyptic number.

20696546400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20696546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34110316800).

20696546400 is an abundant number, since it is smaller than the sum of its proper divisors (47524087200).

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

20696546400 is a wasteful number, since it uses less digits than its factorization.

20696546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109261 (or 109248 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 20696546400 in words is "twenty billion, six hundred ninety-six million, five hundred forty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 79 80 96 100 120 150 158 160 200 237 240 300 316 395 400 474 480 600 632 790 800 948 1185 1200 1264 1580 1896 1975 2370 2400 2528 3160 3792 3950 4740 5925 6320 7584 7900 9480 11850 12640 15800 18960 23700 31600 37920 47400 63200 94800 109159 189600 218318 327477 436636 545795 654954 873272 1091590 1309908 1637385 1746544 2183180 2619816 2728975 3274770 3493088 4366360 5239632 5457950 6549540 8186925 8623561 8732720 10479264 10915900 13099080 16373850 17247122 17465440 21831800 25870683 26198160 32747700 34494244 43117805 43663600 51741366 52396320 65495400 68988488 86235610 87327200 103482732 129353415 130990800 137976976 172471220 206965464 215589025 258706830 261981600 275953952 344942440 413930928 431178050 517413660 646767075 689884880 827861856 862356100 1034827320 1293534150 1379769760 1724712200 2069654640 2587068300 3449424400 4139309280 5174136600 6898848800 10348273200 20696546400