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134354437500 = 223564117477
BaseRepresentation
bin111110100100000100…
…1100000010101111100
3110211210101120120220210
41331020021200111330
54200124214000000
6141415505512420
712464266606263
oct1751011402574
9424711516823
10134354437500
1151a85639508
1222057042710
13c89207417a
1467079235da
15376529c350
hex1f4826057c

134354437500 has 168 divisors, whose sum is σ = 401442673968. Its totient is φ = 34952000000.

The previous prime is 134354437489. The next prime is 134354437501. The reversal of 134354437500 is 5734453431.

It is a super-2 number, since 2×1343544375002 (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 (134354437501) 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 55 ways as a sum of consecutive naturals, for example, 7678762 + ... + 7696238.

It is an arithmetic number, because the mean of its divisors is an integer number (2389539726).

Almost surely, 2134354437500 is an apocalyptic number.

134354437500 is a gapful number since it is divisible by the number (10) 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 134354437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200721336984).

134354437500 is an abundant number, since it is smaller than the sum of its proper divisors (267088236468).

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

134354437500 is an equidigital number, since it uses as much as digits as its factorization.

134354437500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17555 (or 17528 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 134354437500 in words is "one hundred thirty-four billion, three hundred fifty-four million, four hundred thirty-seven thousand, five hundred".