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2050107211944 = 233211192971127521
BaseRepresentation
bin11101110101010011111…
…010011000000010101000
321020222200111101221201200
4131311103322120002220
5232042104421240234
64205450052244200
7301054365531051
oct35652372300250
97228614357650
102050107211944
1172049a090850
122913a8910660
1311b42a5a13cc
147132352b728
15384dbe9dd99
hex1dd53e980a8

2050107211944 has 768 divisors, whose sum is σ = 6754295808000. Its totient is φ = 554770944000.

The previous prime is 2050107211939. The next prime is 2050107211993. The reversal of 2050107211944 is 4491127010502.

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

It is a junction number, because it is equal to n+sod(n) for n = 2050107211899 and 2050107211908.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3934946404 + ... + 3934946924.

It is an arithmetic number, because the mean of its divisors is an integer number (8794656000).

Almost surely, 22050107211944 is an apocalyptic number.

2050107211944 is a gapful number since it is divisible by the number (24) 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 2050107211944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377147904000).

2050107211944 is an abundant number, since it is smaller than the sum of its proper divisors (4704188596056).

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

2050107211944 is a wasteful number, since it uses less digits than its factorization.

2050107211944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2050107211944 in words is "two trillion, fifty billion, one hundred seven million, two hundred eleven thousand, nine hundred forty-four".