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134161736900 = 22521341617369
BaseRepresentation
bin111110011110010101…
…0011010010011000100
3110211021221222101101112
41330330222122103010
54144230401040100
6141344423344152
712456436643042
oct1747452322304
9424257871345
10134161736900
1151996891714
12220025b2058
13c861174449
1466ca0c1392
1537533d5b35
hex1f3ca9a4c4

134161736900 has 18 divisors (see below), whose sum is σ = 291130969290. Its totient is φ = 53664694720.

The previous prime is 134161736897. The next prime is 134161736903. The reversal of 134161736900 is 9637161431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134161736897) and next prime (134161736903).

It can be written as a sum of positive squares in 3 ways, for example, as 698650624 + 133463086276 = 26432^2 + 365326^2 .

It is a super-2 number, since 2×1341617369002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134161736903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 670808585 + ... + 670808784.

Almost surely, 2134161736900 is an apocalyptic number.

134161736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134161736900 is an abundant number, since it is smaller than the sum of its proper divisors (156969232390).

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

134161736900 is a wasteful number, since it uses less digits than its factorization.

134161736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341617383 (or 1341617376 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 134161736900 in words is "one hundred thirty-four billion, one hundred sixty-one million, seven hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1341617369 2683234738 5366469476 6708086845 13416173690 26832347380 33540434225 67080868450 134161736900