Search a number
-
+
106634231349408 = 25347197241712343
BaseRepresentation
bin11000001111101110110111…
…011110110000000010100000
3111222120010120221000212020000
4120033232313132300002200
5102434043401211140113
61014443031204420000
731314032442160110
oct3017566736600240
9458503527025200
10106634231349408
1130a82361714634
12bb625183a7600
13476674602c279
141c491a5267040
15c4dc03922373
hex60fbb77b00a0

106634231349408 has 480 divisors, whose sum is σ = 360407073970944. Its totient is φ = 30297272721408.

The previous prime is 106634231349397. The next prime is 106634231349473. The reversal of 106634231349408 is 804943132436601.

106634231349408 is a `hidden beast` number, since 1 + 0 + 6 + 63 + 4 + 231 + 349 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×1066342313494082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8639241285 + ... + 8639253627.

Almost surely, 2106634231349408 is an apocalyptic number.

106634231349408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106634231349408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180203536985472).

106634231349408 is an abundant number, since it is smaller than the sum of its proper divisors (253772842621536).

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

106634231349408 is a wasteful number, since it uses less digits than its factorization.

106634231349408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14986 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 106634231349408 in words is "one hundred six trillion, six hundred thirty-four billion, two hundred thirty-one million, three hundred forty-nine thousand, four hundred eight".