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4634541912 = 23373111331127
BaseRepresentation
bin1000101000011110…
…10111111101011000
3102221222201010022110
410110033113331120
533442420320122
62043514152320
7222563646000
oct42417277530
912858633273
104634541912
111a69094a30
12a941226a0
1358b2226c0
1431d72d000
151c1d1790c
hex1143d7f58

4634541912 has 512 divisors, whose sum is σ = 16515072000. Its totient is φ = 1066867200.

The previous prime is 4634541869. The next prime is 4634541931. The reversal of 4634541912 is 2191454364.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36492393 + ... + 36492519.

It is an arithmetic number, because the mean of its divisors is an integer number (32256000).

Almost surely, 24634541912 is an apocalyptic number.

4634541912 is a gapful number since it is divisible by the number (42) 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 4634541912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257536000).

4634541912 is an abundant number, since it is smaller than the sum of its proper divisors (11880530088).

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

4634541912 is a wasteful number, since it uses less digits than its factorization.

4634541912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 4634541912 is about 68077.4699294855. The cubic root of 4634541912 is about 1667.2559321862.

The spelling of 4634541912 in words is "four billion, six hundred thirty-four million, five hundred forty-one thousand, nine hundred twelve".