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2123355714480 = 2435571113195743
BaseRepresentation
bin11110111001100001110…
…111001111001110110000
321111222202022101102100000
4132321201313033032300
5234242113030330410
64303242310030000
7306256506530430
oct36714167171660
97458668342300
102123355714480
11749567a43960
122a362b648300
13125301a3a1c0
1474ab17562c0
153a37788ddc0
hex1ee61dcf3b0

2123355714480 has 1920 divisors, whose sum is σ = 10453410938880. Its totient is φ = 385774202880.

The previous prime is 2123355714367. The next prime is 2123355714497. The reversal of 2123355714480 is 844175533212.

2123355714480 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 557 + 14 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 369726489 + ... + 369732231.

It is an arithmetic number, because the mean of its divisors is an integer number (5444484864).

Almost surely, 22123355714480 is an apocalyptic number.

2123355714480 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 2123355714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226705469440).

2123355714480 is an abundant number, since it is smaller than the sum of its proper divisors (8330055224400).

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

2123355714480 is a wasteful number, since it uses less digits than its factorization.

2123355714480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2123355714480 in words is "two trillion, one hundred twenty-three billion, three hundred fifty-five million, seven hundred fourteen thousand, four hundred eighty".