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38900421400 = 23521921094943
BaseRepresentation
bin100100001110101001…
…010101001100011000
310201102001000011020011
4210032221111030120
51114132001441100
625512015011304
72544663061201
oct441651251430
9121361004204
1038900421400
11155523013a5
127657809b34
13388c31b639
141c5053c5a8
15102a1d5bba
hex90ea55318

38900421400 has 144 divisors (see below), whose sum is σ = 96349413600. Its totient is φ = 14603016960.

The previous prime is 38900421383. The next prime is 38900421403. The reversal of 38900421400 is 412400983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38900421403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7867329 + ... + 7872271.

It is an arithmetic number, because the mean of its divisors is an integer number (669093150).

Almost surely, 238900421400 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 38900421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48174706800).

38900421400 is an abundant number, since it is smaller than the sum of its proper divisors (57448992200).

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

38900421400 is a wasteful number, since it uses less digits than its factorization.

38900421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 38900421400 in words is "thirty-eight billion, nine hundred million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 109 152 190 200 218 361 380 436 475 545 722 760 872 950 1090 1444 1805 1900 2071 2180 2725 2888 3610 3800 4142 4360 4943 5450 7220 8284 9025 9886 10355 10900 14440 16568 18050 19772 20710 21800 24715 36100 39349 39544 41420 49430 51775 72200 78698 82840 93917 98860 103550 123575 157396 187834 196745 197720 207100 247150 314792 375668 393490 414200 469585 494300 538787 751336 786980 939170 983725 988600 1077574 1573960 1784423 1878340 1967450 2155148 2347925 2693935 3568846 3756680 3934900 4310296 4695850 5387870 7137692 7869800 8922115 9391700 10236953 10775740 13469675 14275384 17844230 18783400 20473906 21551480 26939350 35688460 40947812 44610575 51184765 53878700 71376920 81895624 89221150 102369530 107757400 178442300 194502107 204739060 255923825 356884600 389004214 409478120 511847650 778008428 972510535 1023695300 1556016856 1945021070 2047390600 3890042140 4862552675 7780084280 9725105350 19450210700 38900421400