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4901112832 = 210711611019
BaseRepresentation
bin1001001000010000…
…10000110000000000
3110122120022022212111
410210020100300000
540014141102312
62130155505104
7232311525460
oct44410206000
913576268774
104901112832
112095606680
12b49458194
13601517785
14346cbdba0
151da4218a7
hex124210c00

4901112832 has 176 divisors, whose sum is σ = 12427418880. Its totient is φ = 1876377600.

The previous prime is 4901112829. The next prime is 4901112841. The reversal of 4901112832 is 2382111094.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×49011128323 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4901112794 and 4901112803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4809219 + ... + 4810237.

Almost surely, 24901112832 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 4901112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213709440).

4901112832 is an abundant number, since it is smaller than the sum of its proper divisors (7526306048).

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

4901112832 is a wasteful number, since it uses less digits than its factorization.

4901112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 4901112832 is about 70007.9483487411. The cubic root of 4901112832 is about 1698.6278237553.

The spelling of 4901112832 in words is "four billion, nine hundred one million, one hundred twelve thousand, eight hundred thirty-two".