Search a number
-
+
105150004452 = 223223126992759
BaseRepresentation
bin110000111101101101…
…1011011110011100100
3101001102002021200020100
41201323123123303210
53210321400120302
6120145533304100
710411500201513
oct1417333336344
9331362250210
10105150004452
1140659488729
1218466635030
139bb976c25c
14513700c67a
152b06421d1c
hex187b6dbce4

105150004452 has 36 divisors (see below), whose sum is σ = 277352187840. Its totient is φ = 33526088112.

The previous prime is 105150004423. The next prime is 105150004483. The reversal of 105150004452 is 254400051501.

105150004452 is a `hidden beast` number, since 105 + 1 + 500 + 0 + 4 + 4 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1051500044522 (a number of 23 digits) contains 22 as substring.

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, 63495552 + ... + 63497207.

It is an arithmetic number, because the mean of its divisors is an integer number (7704227440).

Almost surely, 2105150004452 is an apocalyptic number.

105150004452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105150004452 is an abundant number, since it is smaller than the sum of its proper divisors (172202183388).

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

105150004452 is a wasteful number, since it uses less digits than its factorization.

105150004452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126992792 (or 126992787 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 105150004452 its reverse (254400051501), we get a palindrome (359550055953).

The spelling of 105150004452 in words is "one hundred five billion, one hundred fifty million, four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 126992759 253985518 380978277 507971036 761956554 1142934831 1523913108 2285869662 2920833457 4571739324 5841666914 8762500371 11683333828 17525000742 26287501113 35050001484 52575002226 105150004452