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2123436480 = 263511211953
BaseRepresentation
bin111111010010001…
…0001000111000000
312110222121202020120
41332210101013000
513322044431410
6550412340240
7103422624624
oct17644210700
95428552216
102123436480
1199a696290
124b3174680
1327ac054b9
1416202b184
15c6646570
hex7e9111c0

2123436480 has 224 divisors, whose sum is σ = 7397422848. Its totient is φ = 511795200.

The previous prime is 2123436479. The next prime is 2123436499. The reversal of 2123436480 is 846343212.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227684 + ... + 2228636.

Almost surely, 22123436480 is an apocalyptic number.

2123436480 is a gapful number since it is divisible by the number (20) 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 2123436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698711424).

2123436480 is an abundant number, since it is smaller than the sum of its proper divisors (5273986368).

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

2123436480 is a wasteful number, since it uses less digits than its factorization.

2123436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2123436480 is about 46080.7604103925. The cubic root of 2123436480 is about 1285.3254042237.

Adding to 2123436480 its reverse (846343212), we get a palindrome (2969779692).

The spelling of 2123436480 in words is "two billion, one hundred twenty-three million, four hundred thirty-six thousand, four hundred eighty".