Search a number
-
+
825338012226 = 237133148761551
BaseRepresentation
bin11000000001010011111…
…10101010001001000010
32220220100020002010101220
430000221332222021002
5102010243012342401
61431053253535510
7113425434231540
oct14005176521102
92826306063356
10825338012226
11299029878372
12113b58044596
135caa152c810
142bd37578d90
15167079d1336
hexc029faa242

825338012226 has 64 divisors (see below), whose sum is σ = 2097136828416. Its totient is φ = 210649896000.

The previous prime is 825338012209. The next prime is 825338012237. The reversal of 825338012226 is 622210833528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24363850 + ... + 24397701.

It is an arithmetic number, because the mean of its divisors is an integer number (32767762944).

Almost surely, 2825338012226 is an apocalyptic number.

825338012226 is an abundant number, since it is smaller than the sum of its proper divisors (1271798816190).

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

825338012226 is a wasteful number, since it uses less digits than its factorization.

825338012226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48761607.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 825338012226 in words is "eight hundred twenty-five billion, three hundred thirty-eight million, twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5642 8463 16926 48761551 97523102 146284653 292569306 341330857 633900163 682661714 1023992571 1267800326 1511608081 1901700489 2047985142 3023216162 3803400978 4437301141 4534824243 8874602282 9069648486 10581256567 13311903423 19650905053 21162513134 26623806846 31743769701 39301810106 58952715159 63487539402 117905430318 137556335371 275112670742 412669006113 825338012226