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49922944128 = 27322922272
BaseRepresentation
bin101110011111101000…
…111010110010000000
311202212012211022211200
4232133220322302000
51304220233203003
634533445541200
73415065011031
oct563750726200
9152765738750
1049922944128
111a199222912
129813114800
134927b00735
1425b83d2a88
151472c236a3
hexb9fa3ac80

49922944128 has 216 divisors, whose sum is σ = 149441350305. Its totient is φ = 15996374016.

The previous prime is 49922944121. The next prime is 49922944199. The reversal of 49922944128 is 82144922994.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49922944128 is a `hidden beast` number, since 499 + 2 + 2 + 94 + 41 + 28 = 666.

49922944128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49893263424 + 29680704 = 223368^2 + 5448^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=157992.

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

It is not an unprimeable number, because it can be changed into a prime (49922944121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 219924751 + ... + 219924977.

Almost surely, 249922944128 is an apocalyptic number.

49922944128 is a gapful number since it is divisible by the number (48) 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 49922944128

49922944128 is an abundant number, since it is smaller than the sum of its proper divisors (99518406177).

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

49922944128 is an equidigital number, since it uses as much as digits as its factorization.

49922944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 261 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 49922944128 in words is "forty-nine billion, nine hundred twenty-two million, nine hundred forty-four thousand, one hundred twenty-eight".