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4919044032 = 263372937379
BaseRepresentation
bin1001001010011001…
…01010011111000000
3110200211001022212000
410211030222133000
540033233402112
62132040104000
7232620120150
oct44514523700
913624038760
104919044032
1120a4743651
12b53465000
13605155356
1434942a760
151dbcb47dc
hex12532a7c0

4919044032 has 448 divisors, whose sum is σ = 17605248000. Its totient is φ = 1316818944.

The previous prime is 4919043991. The next prime is 4919044049. The reversal of 4919044032 is 2304409194.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12978819 + ... + 12979197.

Almost surely, 24919044032 is an apocalyptic number.

4919044032 is a gapful number since it is divisible by the number (42) 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 4919044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802624000).

4919044032 is an abundant number, since it is smaller than the sum of its proper divisors (12686203968).

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

4919044032 is a wasteful number, since it uses less digits than its factorization.

4919044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4919044032 is about 70135.8968859742. The cubic root of 4919044032 is about 1700.6968345112.

The spelling of 4919044032 in words is "four billion, nine hundred nineteen million, forty-four thousand, thirty-two".