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5464402944 = 2103711131777
BaseRepresentation
bin1010001011011010…
…00010110000000000
3112002211020102122020
411011231002300000
542142341343234
62302121041440
7252261441630
oct50555026000
915084212566
105464402944
1123545708a0
121086026280
1369112c230
1439ba2c6c0
1521eadc549
hex145b42c00

5464402944 has 352 divisors, whose sum is σ = 19566306816. Its totient is φ = 1309409280.

The previous prime is 5464402921. The next prime is 5464402963. The reversal of 5464402944 is 4492044645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5464402896 and 5464402905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3074184 + ... + 3075960.

Almost surely, 25464402944 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 5464402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9783153408).

5464402944 is an abundant number, since it is smaller than the sum of its proper divisors (14101903872).

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

5464402944 is a wasteful number, since it uses less digits than its factorization.

5464402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 5464402944 is about 73921.5999826844. The cubic root of 5464402944 is about 1761.3577401899.

The spelling of 5464402944 in words is "five billion, four hundred sixty-four million, four hundred two thousand, nine hundred forty-four".