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2123405152 = 251110358567
BaseRepresentation
bin111111010010000…
…1001011101100000
312110222120011021021
41332210021131200
513322042431102
6550411535224
7103422434401
oct17644113540
95428504237
102123405152
1199a6747a0
124b315a514
1327abc416b
1416201d9a8
15c663c137
hex7e909760

2123405152 has 48 divisors (see below), whose sum is σ = 4604850432. Its totient is φ = 955797120.

The previous prime is 2123405101. The next prime is 2123405177. The reversal of 2123405152 is 2515043212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6973 + ... + 65539.

It is an arithmetic number, because the mean of its divisors is an integer number (95934384).

Almost surely, 22123405152 is an apocalyptic number.

2123405152 is a gapful number since it is divisible by the number (22) 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 2123405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302425216).

2123405152 is an abundant number, since it is smaller than the sum of its proper divisors (2481445280).

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

2123405152 is a wasteful number, since it uses less digits than its factorization.

2123405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58691 (or 58683 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2123405152 is about 46080.4204841926. The cubic root of 2123405152 is about 1285.3190832007.

Adding to 2123405152 its reverse (2515043212), we get a palindrome (4638448364).

The spelling of 2123405152 in words is "two billion, one hundred twenty-three million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1648 2266 3296 4532 9064 18128 36256 58567 117134 234268 468536 644237 937072 1288474 1874144 2576948 5153896 6032401 10307792 12064802 20615584 24129604 48259208 66356411 96518416 132712822 193036832 265425644 530851288 1061702576 2123405152