Search a number
-
+
106332627570 = 23513299401647
BaseRepresentation
bin110001100000111101…
…0110010001001110010
3101011110111121011011120
41203001322302021302
53220232123040240
6120503141123110
710453010264361
oct1430172621162
9334414534146
10106332627570
1141105aa5a04
12187366b9496
13a04778b250
14520a0d77d8
152b75178ad0
hex18c1eb2272

106332627570 has 64 divisors (see below), whose sum is σ = 284305835520. Its totient is φ = 25271624448.

The previous prime is 106332627551. The next prime is 106332627589. The reversal of 106332627570 is 75726233601.

It is an interprime number because it is at equal distance from previous prime (106332627551) and next prime (106332627589).

It is a super-2 number, since 2×1063326275702 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4689514 + ... + 4712133.

It is an arithmetic number, because the mean of its divisors is an integer number (4442278680).

Almost surely, 2106332627570 is an apocalyptic number.

106332627570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106332627570 is an abundant number, since it is smaller than the sum of its proper divisors (177973207950).

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

106332627570 is a wasteful number, since it uses less digits than its factorization.

106332627570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401699.

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 106332627570 in words is "one hundred six billion, three hundred thirty-two million, six hundred twenty-seven thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 11310 9401647 18803294 28204941 47008235 56409882 94016470 122221411 141024705 244442822 272647763 282049410 366664233 545295526 611107055 733328466 817943289 1222214110 1363238815 1635886578 1833321165 2726477630 3544420919 3666642330 4089716445 7088841838 8179432890 10633262757 17722104595 21266525514 35444209190 53166313785 106332627570