Search a number
-
+
27023156928 = 2633106914629
BaseRepresentation
bin11001001010101101…
…001010011011000000
32120202021211121101000
4121022231022123000
5420320412010203
620225252012000
71644442021035
oct311255123300
976667747330
1027023156928
111050795a849
1252a2001000
13271872abb1
141444d4d38c
15a8260b4a3
hex64ab4a6c0

27023156928 has 112 divisors (see below), whose sum is σ = 79522828000. Its totient is φ = 8998677504.

The previous prime is 27023156917. The next prime is 27023156929. The reversal of 27023156928 is 82965132072.

27023156928 is a `hidden beast` number, since 270 + 2 + 315 + 69 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27023156929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839918 + ... + 1854546.

It is an arithmetic number, because the mean of its divisors is an integer number (710025250).

Almost surely, 227023156928 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 27023156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761414000).

27023156928 is an abundant number, since it is smaller than the sum of its proper divisors (52499671072).

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

27023156928 is a wasteful number, since it uses less digits than its factorization.

27023156928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15719 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27023156928 in words is "twenty-seven billion, twenty-three million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1069 1728 2138 3207 4276 6414 8552 9621 12828 14629 17104 19242 25656 28863 29258 34208 38484 43887 51312 57726 58516 68416 76968 87774 102624 115452 117032 131661 153936 175548 205248 230904 234064 263322 307872 351096 394983 461808 468128 526644 615744 702192 789966 923616 936256 1053288 1404384 1579932 1847232 2106576 2808768 3159864 4213152 6319728 8426304 12639456 15638401 25278912 31276802 46915203 62553604 93830406 125107208 140745609 187660812 250214416 281491218 375321624 422236827 500428832 562982436 750643248 844473654 1000857664 1125964872 1501286496 1688947308 2251929744 3002572992 3377894616 4503859488 6755789232 9007718976 13511578464 27023156928