Search a number
-
+
103832804672 = 2631237122073
BaseRepresentation
bin110000010110011101…
…0101101110101000000
3100221000021201222211022
41200230322231311000
53200122144222142
6115411121205012
710334034164102
oct1405472556500
9327007658738
10103832804672
1140042a02a73
1218159490768
139a398c15bc
1450500d1572
152a7a9856d2
hex182ceadd40

103832804672 has 56 divisors (see below), whose sum is σ = 212789121792. Its totient is φ = 50218214400.

The previous prime is 103832804639. The next prime is 103832804681. The reversal of 103832804672 is 276408238301.

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 7 ways as a sum of consecutive naturals, for example, 4693028 + ... + 4715100.

Almost surely, 2103832804672 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 103832804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106394560896).

103832804672 is an abundant number, since it is smaller than the sum of its proper divisors (108956317120).

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

103832804672 is a wasteful number, since it uses less digits than its factorization.

103832804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24487 (or 24477 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 103832804672 in words is "one hundred three billion, eight hundred thirty-two million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2371 4742 9484 18968 22073 37936 44146 73501 75872 88292 147002 151744 176584 294004 353168 588008 684263 706336 1176016 1368526 1412672 2352032 2737052 4704064 5474104 10948208 21896416 43792832 52335083 104670166 209340332 418680664 837361328 1622387573 1674722656 3244775146 3349445312 6489550292 12979100584 25958201168 51916402336 103832804672