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201043176672 = 253131750318839
BaseRepresentation
bin1011101100111100011…
…0110110110011100000
3201012221001012112212110
42323033012312303200
511243214023123142
6232205152555320
720345015543262
oct2731706666340
9635831175773
10201043176672
11782976a5288
1232b68b52b40
1315c5c495a90
149a3286bb32
155369d3399c
hex2ecf1b6ce0

201043176672 has 192 divisors, whose sum is σ = 602993341440. Its totient is φ = 58101817344.

The previous prime is 201043176643. The next prime is 201043176673. The reversal of 201043176672 is 276671340102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201043176672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201043176673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10662229 + ... + 10681067.

It is an arithmetic number, because the mean of its divisors is an integer number (3140590320).

Almost surely, 2201043176672 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 201043176672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301496670720).

201043176672 is an abundant number, since it is smaller than the sum of its proper divisors (401950164768).

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

201043176672 is a wasteful number, since it uses less digits than its factorization.

201043176672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19385 (or 19377 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 201043176672 in words is "two hundred one billion, forty-three million, one hundred seventy-six thousand, six hundred seventy-two".