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4491126144 = 27323898547
BaseRepresentation
bin1000010111011000…
…10010010110000000
3102120222211211212100
410023230102112000
533144212014034
62021352230400
7216202641141
oct41354222600
912528754770
104491126144
1119a513a5aa
12a5409b400
135675ba6bb
14308679ac8
151b4439099
hex10bb12580

4491126144 has 48 divisors (see below), whose sum is σ = 12923686620. Its totient is φ = 1497041664.

The previous prime is 4491126139. The next prime is 4491126149. The reversal of 4491126144 is 4416211944.

It is a happy number.

4491126144 is a `hidden beast` number, since 4 + 491 + 1 + 26 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (4491126139) and next prime (4491126149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4491126099 and 4491126108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4491126149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1948122 + ... + 1950425.

Almost surely, 24491126144 is an apocalyptic number.

It is an amenable number.

4491126144 is an abundant number, since it is smaller than the sum of its proper divisors (8432560476).

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

4491126144 is a wasteful number, since it uses less digits than its factorization.

4491126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898567 (or 3898552 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4491126144 is about 67015.8648679550. The cubic root of 4491126144 is about 1649.8776945157.

The spelling of 4491126144 in words is "four billion, four hundred ninety-one million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3898547 7797094 11695641 15594188 23391282 31188376 35086923 46782564 62376752 70173846 93565128 124753504 140347692 187130256 249507008 280695384 374260512 499014016 561390768 748521024 1122781536 1497042048 2245563072 4491126144