Search a number
-
+
10055622144 = 29318713499
BaseRepresentation
bin10010101110101110…
…01001111000000000
3221221210102112100210
421113113021320000
5131043214402034
64341450514120
7504121243431
oct112727117000
927853375323
1010055622144
1142a0155827
121b47735940
13c43393899
146b56c1488
153dcbe88e9
hex2575c9e00

10055622144 has 80 divisors (see below), whose sum is σ = 26810784000. Its totient is φ = 3349125120.

The previous prime is 10055622133. The next prime is 10055622163. The reversal of 10055622144 is 44122655001.

It is a super-2 number, since 2×100556221442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2872107 + ... + 2875605.

It is an arithmetic number, because the mean of its divisors is an integer number (335134800).

Almost surely, 210055622144 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 10055622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392000).

10055622144 is an abundant number, since it is smaller than the sum of its proper divisors (16755161856).

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

10055622144 is an equidigital number, since it uses as much as digits as its factorization.

10055622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10055622144 in words is "ten billion, fifty-five million, six hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1871 3499 3742 5613 6998 7484 10497 11226 13996 14968 20994 22452 27992 29936 41988 44904 55984 59872 83976 89808 111968 119744 167952 179616 223936 239488 335904 359232 447872 478976 671808 718464 895744 957952 1343616 1436928 1791488 2687232 2873856 5374464 6546629 13093258 19639887 26186516 39279774 52373032 78559548 104746064 157119096 209492128 314238192 418984256 628476384 837968512 1256952768 1675937024 2513905536 3351874048 5027811072 10055622144