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2451132096 = 26372437383
BaseRepresentation
bin1001001000011001…
…0100111011000000
320022211020102010020
42102012110323000
520004442211341
61043120133440
7114512164500
oct22206247300
96284212106
102451132096
111048666906
12584a67280
13300a7c42a
1419376da00
15e52c6566
hex92194ec0

2451132096 has 336 divisors, whose sum is σ = 7919581824. Its totient is φ = 666537984.

The previous prime is 2451132083. The next prime is 2451132119. The reversal of 2451132096 is 6902311542.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29531671 + ... + 29531753.

It is an arithmetic number, because the mean of its divisors is an integer number (23570184).

Almost surely, 22451132096 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 2451132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959790912).

2451132096 is an abundant number, since it is smaller than the sum of its proper divisors (5468449728).

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

2451132096 is a wasteful number, since it uses less digits than its factorization.

2451132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2451132096 is about 49508.9092588395. The cubic root of 2451132096 is about 1348.3073612243.

The spelling of 2451132096 in words is "two billion, four hundred fifty-one million, one hundred thirty-two thousand, ninety-six".