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13458226950 = 235527229691
BaseRepresentation
bin11001000100010110…
…00011111100000110
31021201221000202200000
430202023003330012
5210030301230300
610103240302130
7654336020160
oct144213037406
937657022600
1013458226950
115786900113
122737171946
1313662bc1cc
14919569930
1553b7b7c00
hex3222c3f06

13458226950 has 288 divisors, whose sum is σ = 43103074560. Its totient is φ = 3058300800.

The previous prime is 13458226949. The next prime is 13458226961. The reversal of 13458226950 is 5962285431.

13458226950 is a `hidden beast` number, since 1 + 3 + 4 + 582 + 2 + 69 + 5 + 0 = 666.

It is a super-2 number, since 2×134582269502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13458226896 and 13458226905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19476105 + ... + 19476795.

Almost surely, 213458226950 is an apocalyptic number.

13458226950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13458226950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21551537280).

13458226950 is an abundant number, since it is smaller than the sum of its proper divisors (29644847610).

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

13458226950 is a wasteful number, since it uses less digits than its factorization.

13458226950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13458226950 in words is "thirteen billion, four hundred fifty-eight million, two hundred twenty-six thousand, nine hundred fifty".