Search a number
-
+
10448457912 = 2332226764013
BaseRepresentation
bin10011011101100011…
…01101000010111000
3222222011121122201200
421232301231002320
5132344301123122
64444442414200
7516631266264
oct115661550270
928864548650
1010448457912
114481978092
122037201360
13ca6897299
1471193d0a4
154124445ac
hex26ec6d0b8

10448457912 has 48 divisors (see below), whose sum is σ = 28310831640. Its totient is φ = 3481228608.

The previous prime is 10448457881. The next prime is 10448457959. The reversal of 10448457912 is 21975484401.

10448457912 is a `hidden beast` number, since 104 + 4 + 8 + 457 + 91 + 2 = 666.

10448457912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131218 + ... + 195230.

Almost surely, 210448457912 is an apocalyptic number.

10448457912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10448457912 is an abundant number, since it is smaller than the sum of its proper divisors (17862373728).

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

10448457912 is a wasteful number, since it uses less digits than its factorization.

10448457912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66292 (or 66285 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10448457912 in words is "ten billion, four hundred forty-eight million, four hundred fifty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2267 4534 6801 9068 13602 18136 20403 27204 40806 54408 64013 81612 128026 163224 192039 256052 384078 512104 576117 768156 1152234 1536312 2304468 4608936 145117471 290234942 435352413 580469884 870704826 1160939768 1306057239 1741409652 2612114478 3482819304 5224228956 10448457912