Search a number
-
+
126505533132 = 223311106486139
BaseRepresentation
bin111010111010001010…
…0010011111011001100
3110002112101110221021000
41311310110103323030
54033040404030012
6134041004340300
712065632201206
oct1656424237314
9402471427230
10126505533132
1149718091490
1220626544690
13bc10c24864
1461a134b776
15345619addc
hex1d74513ecc

126505533132 has 48 divisors (see below), whose sum is σ = 357793430400. Its totient is φ = 38335009680.

The previous prime is 126505533113. The next prime is 126505533151. The reversal of 126505533132 is 231335505621.

126505533132 is a `hidden beast` number, since 1 + 26 + 50 + 553 + 3 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (126505533113) and next prime (126505533151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53241882 + ... + 53244257.

It is an arithmetic number, because the mean of its divisors is an integer number (7454029800).

Almost surely, 2126505533132 is an apocalyptic number.

126505533132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126505533132 is an abundant number, since it is smaller than the sum of its proper divisors (231287897268).

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

126505533132 is a wasteful number, since it uses less digits than its factorization.

126505533132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106486163 (or 106486155 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 126505533132 in words is "one hundred twenty-six billion, five hundred five million, five hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 106486139 212972278 319458417 425944556 638916834 958375251 1171347529 1277833668 1916750502 2342695058 2875125753 3514042587 3833501004 4685390116 5750251506 7028085174 10542127761 11500503012 14056170348 21084255522 31626383283 42168511044 63252766566 126505533132