Search a number
-
+
106006256512 = 271363705683
BaseRepresentation
bin110001010111001110…
…1110001101110000000
3101010121202110210020121
41202232131301232000
53214100100202022
6120410521550024
710441635212302
oct1425635615600
9333552423217
10106006256512
1140a5884a562
1218665345314
139cc4c89190
1451b8a1b972
152b566ab2c7
hex18ae771b80

106006256512 has 32 divisors (see below), whose sum is σ = 227429291880. Its totient is φ = 48925963776.

The previous prime is 106006256471. The next prime is 106006256519. The reversal of 106006256512 is 215652600601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1060062565122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006256519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31851178 + ... + 31854505.

Almost surely, 2106006256512 is an apocalyptic number.

It is an amenable number.

106006256512 is an abundant number, since it is smaller than the sum of its proper divisors (121423035368).

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

106006256512 is an equidigital number, since it uses as much as digits as its factorization.

106006256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63705710 (or 63705698 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 106006256512 in words is "one hundred six billion, six million, two hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 63705683 127411366 254822732 509645464 828173879 1019290928 1656347758 2038581856 3312695516 4077163712 6625391032 8154327424 13250782064 26501564128 53003128256 106006256512