Search a number
-
+
10275228128 = 2511171717117
BaseRepresentation
bin10011001000111001…
…11000100111100000
3222112002122200010202
421210130320213200
5132020424300003
64415333444332
7512425666214
oct114434704740
928462580122
1010275228128
1143a3109a80
121ba91a06a8
13c79a23b59
146d6928944
15402127088
hex2647389e0

10275228128 has 48 divisors (see below), whose sum is σ = 23366541744. Its totient is φ = 4395816960.

The previous prime is 10275228121. The next prime is 10275228151. The reversal of 10275228128 is 82182257201.

It is a junction number, because it is equal to n+sod(n) for n = 10275228091 and 10275228100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10275228121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852575 + ... + 864542.

It is an arithmetic number, because the mean of its divisors is an integer number (486802953).

Almost surely, 210275228128 is an apocalyptic number.

It is an amenable number.

10275228128 is an abundant number, since it is smaller than the sum of its proper divisors (13091313616).

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

10275228128 is a wasteful number, since it uses less digits than its factorization.

10275228128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717155 (or 1717147 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The spelling of 10275228128 in words is "ten billion, two hundred seventy-five million, two hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 1717117 3434234 6868468 13736936 18888287 27473872 29190989 37776574 54947744 58381978 75553148 116763956 151106296 233527912 302212592 321100879 467055824 604425184 642201758 934111648 1284403516 2568807032 5137614064 10275228128