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134446635450 = 23252378074873
BaseRepresentation
bin111110100110110100…
…1001101100110111010
3110212000211001201201200
41331031221031212322
54200321314313300
6141433001555030
712466466355051
oct1751551154672
9425024051650
10134446635450
1152022691166
1222081aa5a76
13c8a81b567a
146715c83398
15376d410200
hex1f4da4d9ba

134446635450 has 72 divisors (see below), whose sum is σ = 370975861308. Its totient is φ = 34883447040.

The previous prime is 134446635437. The next prime is 134446635469. The reversal of 134446635450 is 54536644431.

134446635450 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 6 + 635 + 4 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 113224847121 + 21221788329 = 336489^2 + 145677^2 .

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 = 134446635396 and 134446635405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4020787 + ... + 4054086.

Almost surely, 2134446635450 is an apocalyptic number.

134446635450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134446635450 is an abundant number, since it is smaller than the sum of its proper divisors (236529225858).

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

134446635450 is a wasteful number, since it uses less digits than its factorization.

134446635450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074928 (or 8074920 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 134446635450 in words is "one hundred thirty-four billion, four hundred forty-six million, six hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 8074873 16149746 24224619 40374365 48449238 72673857 80748730 121123095 145347714 201871825 242246190 298770301 363369285 403743650 597540602 605615475 726738570 896310903 1211230950 1493851505 1792621806 1816846425 2688932709 2987703010 3633692850 4481554515 5377865418 7469257525 8963109030 13444663545 14938515050 22407772575 26889327090 44815545150 67223317725 134446635450