Search a number
-
+
112033125504 = 2732383253919
BaseRepresentation
bin110100001010110110…
…0011101010010000000
3101201011210002110020200
41220111230131102000
53313420440004004
6123244534405200
711044166566026
oct1502554352200
9351153073220
10112033125504
1143570862423
1219867800800
13a7457a1a51
1455cb222716
152daa850239
hex1a15b1d480

112033125504 has 96 divisors (see below), whose sum is σ = 323230003200. Its totient is φ = 37246723584.

The previous prime is 112033125497. The next prime is 112033125527. The reversal of 112033125504 is 405521330211.

112033125504 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 33 + 125 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314257 + ... + 568175.

It is an arithmetic number, because the mean of its divisors is an integer number (3366979200).

Almost surely, 2112033125504 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 112033125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161615001600).

112033125504 is an abundant number, since it is smaller than the sum of its proper divisors (211196877696).

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

112033125504 is a wasteful number, since it uses less digits than its factorization.

112033125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254322 (or 254307 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 112033125504 its reverse (405521330211), we get a palindrome (517554455715).

The spelling of 112033125504 in words is "one hundred twelve billion, thirty-three million, one hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 383 384 576 766 1149 1152 1532 2298 3064 3447 4596 6128 6894 9192 12256 13788 18384 24512 27576 36768 49024 55152 73536 110304 147072 220608 253919 441216 507838 761757 1015676 1523514 2031352 2285271 3047028 4062704 4570542 6094056 8125408 9141084 12188112 16250816 18282168 24376224 32501632 36564336 48752448 73128672 97250977 97504896 146257344 194501954 291752931 292514688 389003908 583505862 778007816 875258793 1167011724 1556015632 1750517586 2334023448 3112031264 3501035172 4668046896 6224062528 7002070344 9336093792 12448125056 14004140688 18672187584 28008281376 37344375168 56016562752 112033125504