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2496064896 = 2735136173
BaseRepresentation
bin1001010011000110…
…1110110110000000
320102221210020100000
42110301232312000
520102443034041
61051403200000
7115566126063
oct22461566600
96387706300
102496064896
111070a66556
12597b16000
1330a1822a0
141997088da
15e91eebb6
hex94c6ed80

2496064896 has 192 divisors, whose sum is σ = 8022989520. Its totient is φ = 767895552.

The previous prime is 2496064877. The next prime is 2496064927. The reversal of 2496064896 is 6984606942.

2496064896 is a `hidden beast` number, since 2 + 496 + 0 + 64 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401266 + ... + 407438.

Almost surely, 22496064896 is an apocalyptic number.

2496064896 is a gapful number since it is divisible by the number (26) 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 2496064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011494760).

2496064896 is an abundant number, since it is smaller than the sum of its proper divisors (5526924624).

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

2496064896 is an equidigital number, since it uses as much as digits as its factorization.

2496064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2496064896 is about 49960.6334627575. The cubic root of 2496064896 is about 1356.4963333035.

The spelling of 2496064896 in words is "two billion, four hundred ninety-six million, sixty-four thousand, eight hundred ninety-six".