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134054626464 = 2532111911319709
BaseRepresentation
bin111110011011001000…
…1110100010010100000
3110211000111102121111100
41330312101310102200
54144020441021324
6141330035514400
712453666344523
oct1746621642240
9424014377440
10134054626464
1151941383aa0
1221b92758a00
13c844c113a5
1466b9b9cbba
153748cc94c9
hex1f364744a0

134054626464 has 288 divisors, whose sum is σ = 441658526400. Its totient is φ = 38142074880.

The previous prime is 134054626463. The next prime is 134054626477. The reversal of 134054626464 is 464626450431.

134054626464 is a `hidden beast` number, since 1 + 3 + 40 + 546 + 2 + 6 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1340546264643 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134054626463) 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 47 ways as a sum of consecutive naturals, for example, 6791842 + ... + 6811550.

It is an arithmetic number, because the mean of its divisors is an integer number (1533536550).

Almost surely, 2134054626464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134054626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220829263200).

134054626464 is an abundant number, since it is smaller than the sum of its proper divisors (307603899936).

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

134054626464 is a wasteful number, since it uses less digits than its factorization.

134054626464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19868 (or 19857 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 134054626464 in words is "one hundred thirty-four billion, fifty-four million, six hundred twenty-six thousand, four hundred sixty-four".