Search a number
-
+
201107950279544 = 23721133125149537
BaseRepresentation
bin101101101110100000010111…
…111100000001101101111000
3222101001201202211112212120002
4231232200113330001231320
5202324423040232421134
61551415414505052132
760234366325310600
oct5556402774015570
9871051684485502
10201107950279544
1159096448072000
121a680099787048
13882a5241bc179
143793968d31c00
15183b42c9b887e
hexb6e817f01b78

201107950279544 has 384 divisors, whose sum is σ = 500030136023040. Its totient is φ = 75522585600000.

The previous prime is 201107950279543. The next prime is 201107950279571. The reversal of 201107950279544 is 445972059701102.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 201107950279544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201107950279543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059727544 + ... + 4059777080.

It is an arithmetic number, because the mean of its divisors is an integer number (1302161812560).

Almost surely, 2201107950279544 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 201107950279544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015068011520).

201107950279544 is an abundant number, since it is smaller than the sum of its proper divisors (298922185743496).

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

201107950279544 is a wasteful number, since it uses less digits than its factorization.

201107950279544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49872 (or 49839 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 56.

The spelling of 201107950279544 in words is "two hundred one trillion, one hundred seven billion, nine hundred fifty million, two hundred seventy-nine thousand, five hundred forty-four".