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4996454400 = 211325271549
BaseRepresentation
bin1001010011100111…
…11101100000000000
3110220012201011220200
410221303331200000
540213043020100
62143443205200
7234550106310
oct45163754000
913805634820
104996454400
112134406163
12b75376800
136181b9ac2
1435581b440
151e39a5e00
hex129cfd800

4996454400 has 432 divisors, whose sum is σ = 20463534000. Its totient is φ = 1141309440.

The previous prime is 4996454321. The next prime is 4996454423. The reversal of 4996454400 is 44546994.

4996454400 is a `hidden beast` number, since 49 + 9 + 64 + 544 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3224826 + ... + 3226374.

Almost surely, 24996454400 is an apocalyptic number.

4996454400 is a gapful number since it is divisible by the number (40) 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 4996454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231767000).

4996454400 is an abundant number, since it is smaller than the sum of its proper divisors (15467079600).

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

4996454400 is a wasteful number, since it uses less digits than its factorization.

4996454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4996454400 is about 70685.6024944260. The cubic root of 4996454400 is about 1709.5716583842.

The spelling of 4996454400 in words is "four billion, nine hundred ninety-six million, four hundred fifty-four thousand, four hundred".