Search a number
-
+
203154421248 = 293352328099
BaseRepresentation
bin1011110100110011110…
…0100111011000000000
3201102101011212212222000
42331030330213120000
511312030012434443
6233154452144000
720451233042262
oct2751474473000
9642334785860
10203154421248
1179180413609
1233458008000
13162079bcb1c
149b93003b32
15544036c8d3
hex2f4cf27600

203154421248 has 160 divisors (see below), whose sum is σ = 602522448000. Its totient is φ = 67586254848.

The previous prime is 203154421243. The next prime is 203154421271. The reversal of 203154421248 is 842124451302.

203154421248 is a `hidden beast` number, since 20 + 31 + 544 + 21 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203154421243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7215903 + ... + 7244001.

It is an arithmetic number, because the mean of its divisors is an integer number (3765765300).

Almost surely, 2203154421248 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 203154421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301261224000).

203154421248 is an abundant number, since it is smaller than the sum of its proper divisors (399368026752).

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

203154421248 is an equidigital number, since it uses as much as digits as its factorization.

203154421248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28649 (or 28627 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 203154421248 in words is "two hundred three billion, one hundred fifty-four million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 523 576 768 864 1046 1152 1536 1569 1728 2092 2304 3138 3456 4184 4608 4707 6276 6912 8368 9414 12552 13824 14121 16736 18828 25104 28099 28242 33472 37656 50208 56198 56484 66944 75312 84297 100416 112396 112968 133888 150624 168594 200832 224792 225936 252891 267776 301248 337188 401664 449584 451872 505782 602496 674376 758673 803328 899168 903744 1011564 1204992 1348752 1517346 1798336 1807488 2023128 2409984 2697504 3034692 3596672 3614976 4046256 5395008 6069384 7193344 7229952 8092512 10790016 12138768 14386688 14695777 16185024 21580032 24277536 29391554 32370048 43160064 44087331 48555072 58783108 64740096 88174662 97110144 117566216 129480192 132261993 176349324 194220288 235132432 264523986 352698648 388440576 396785979 470264864 529047972 705397296 793571958 940529728 1058095944 1410794592 1587143916 1881059456 2116191888 2821589184 3174287832 3762118912 4232383776 5643178368 6348575664 7524237824 8464767552 11286356736 12697151328 16929535104 22572713472 25394302656 33859070208 50788605312 67718140416 101577210624 203154421248