Search a number
-
+
10358274048 = 21131685917
BaseRepresentation
bin10011010010110011…
…01011100000000000
3222201212220211201120
421221121223200000
5132203204232143
64431501432240
7514454606463
oct115131534000
928655824646
1010358274048
114435a80671
122010b6b680
13c90cac755
147039852da
1540957d383
hex26966b800

10358274048 has 48 divisors (see below), whose sum is σ = 27615336840. Its totient is φ = 3452755968.

The previous prime is 10358274019. The next prime is 10358274079. The reversal of 10358274048 is 84047285301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103582740483 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 836815 + ... + 849102.

Almost surely, 210358274048 is an apocalyptic number.

It is an amenable number.

10358274048 is an abundant number, since it is smaller than the sum of its proper divisors (17257062792).

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

10358274048 is an equidigital number, since it uses as much as digits as its factorization.

10358274048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685942 (or 1685922 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 10358274048 in words is "ten billion, three hundred fifty-eight million, two hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 1685917 3371834 5057751 6743668 10115502 13487336 20231004 26974672 40462008 53949344 80924016 107898688 161848032 215797376 323696064 431594752 647392128 863189504 1294784256 1726379008 2589568512 3452758016 5179137024 10358274048