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5464395000 = 233354172381
BaseRepresentation
bin1010001011011010…
…00000110011111000
3112002211020000202000
411011231000303320
542142341120000
62302120541000
7252261406521
oct50555006370
915084200660
105464395000
112354565929
121086021760
1369112872c
1439ba29848
1521eada000
hex145b40cf8

5464395000 has 320 divisors, whose sum is σ = 20091693600. Its totient is φ = 1370880000.

The previous prime is 5464394989. The next prime is 5464395031. The reversal of 5464395000 is 5934645.

It is a happy number.

5464395000 is a `hidden beast` number, since 5 + 4 + 643 + 9 + 5 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×54643950002 = 59719225432050000000, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 2293810 + ... + 2296190.

Almost surely, 25464395000 is an apocalyptic number.

5464395000 is a gapful number since it is divisible by the number (50) 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 5464395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045846800).

5464395000 is an abundant number, since it is smaller than the sum of its proper divisors (14627298600).

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

5464395000 is a wasteful number, since it uses less digits than its factorization.

5464395000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5464395000 is about 73921.5462500616. The cubic root of 5464395000 is about 1761.3568866515.

The spelling of 5464395000 in words is "five billion, four hundred sixty-four million, three hundred ninety-five thousand".