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20104431424 = 2671129140677
BaseRepresentation
bin10010101110010100…
…010100011101000000
31220220010000221020021
4102232110110131000
5312133213301144
613122535423224
71311130563460
oct225624243500
956803027207
1020104431424
118587477990
123a90b24b14
131b8521048c
14d8a10bba0
157c9ee8884
hex4ae514740

20104431424 has 112 divisors (see below), whose sum is σ = 51454385280. Its totient is φ = 7562741760.

The previous prime is 20104431419. The next prime is 20104431437. The reversal of 20104431424 is 42413440102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72574 + ... + 213250.

Almost surely, 220104431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727192640).

20104431424 is an abundant number, since it is smaller than the sum of its proper divisors (31349953856).

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

20104431424 is a wasteful number, since it uses less digits than its factorization.

20104431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140736 (or 140726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20104431424 its reverse (42413440102), we get a palindrome (62517871526).

The spelling of 20104431424 in words is "twenty billion, one hundred four million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 928 1232 1276 1624 1856 2233 2464 2552 3248 4466 4928 5104 6496 8932 10208 12992 17864 20416 35728 71456 140677 142912 281354 562708 984739 1125416 1547447 1969478 2250832 3094894 3938956 4079633 4501664 6189788 7877912 8159266 9003328 10832129 12379576 15755824 16318532 21664258 24759152 28557431 31511648 32637064 43328516 44875963 49518304 57114862 63023296 65274128 86657032 89751926 99036608 114229724 130548256 173314064 179503852 228459448 261096512 314131741 346628128 359007704 456918896 628263482 693256256 718015408 913837792 1256526964 1436030816 1827675584 2513053928 2872061632 5026107856 10052215712 20104431424