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134104516272 = 2434103475707
BaseRepresentation
bin111110011100101000…
…0001000011010110000
3110211010222022021110000
41330321100020122300
54144121224010042
6141335021110000
712455143403046
oct1747120103260
9424128267400
10134104516272
1151967559a41
1221ba73b8300
13c85235b59c
1466c2668396
15374d38174c
hex1f394086b0

134104516272 has 50 divisors (see below), whose sum is σ = 388137380708. Its totient is φ = 44701504992.

The previous prime is 134104516253. The next prime is 134104516291. The reversal of 134104516272 is 272615401431.

134104516272 is a `hidden beast` number, since 1 + 34 + 104 + 516 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (134104516253) and next prime (134104516291).

It is a super-2 number, since 2×1341045162722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51736558 + ... + 51739149.

Almost surely, 2134104516272 is an apocalyptic number.

134104516272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134104516272 is an abundant number, since it is smaller than the sum of its proper divisors (254032864436).

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

134104516272 is a wasteful number, since it uses less digits than its factorization.

134104516272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103475727 (or 103475712 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 134104516272 in words is "one hundred thirty-four billion, one hundred four million, five hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 103475707 206951414 310427121 413902828 620854242 827805656 931281363 1241708484 1655611312 1862562726 2483416968 2793844089 3725125452 4966833936 5587688178 7450250904 8381532267 11175376356 14900501808 16763064534 22350752712 33526129068 44701505424 67052258136 134104516272