Search a number
-
+
106006597968 = 2432208470791
BaseRepresentation
bin110001010111001111…
…1000101000101010000
3101010121210010010122010
41202232133011011100
53214100142113333
6120410533142520
710441641133635
oct1425637050520
9333553103563
10106006597968
1140a58a63057
121866548aa40
139cc507871b
1451b8aaa18c
152b56727563
hex18ae7c5150

106006597968 has 20 divisors (see below), whose sum is σ = 273850378208. Its totient is φ = 35335532640.

The previous prime is 106006597967. The next prime is 106006597973. The reversal of 106006597968 is 869795600601.

It is a happy number.

It is a super-2 number, since 2×1060065979682 (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 (106006597967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1104235348 + ... + 1104235443.

Almost surely, 2106006597968 is an apocalyptic number.

It is an amenable number.

106006597968 is an abundant number, since it is smaller than the sum of its proper divisors (167843780240).

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

106006597968 is a wasteful number, since it uses less digits than its factorization.

106006597968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208470802 (or 2208470796 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 106006597968 in words is "one hundred six billion, six million, five hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2208470791 4416941582 6625412373 8833883164 13250824746 17667766328 26501649492 35335532656 53003298984 106006597968