Search a number
-
+
5470153416 = 23327213412909
BaseRepresentation
bin1010001100000101…
…11110101011001000
3112010020001120210200
411012002332223020
542200324402131
62302444212200
7252361352100
oct50602765310
915106046720
105470153416
112357839252
121087b3a060
13692393790
1439c6c8200
152203762e6
hex1460beac8

5470153416 has 288 divisors, whose sum is σ = 19018654200. Its totient is φ = 1407006720.

The previous prime is 5470153397. The next prime is 5470153433. The reversal of 5470153416 is 6143510745.

5470153416 is a `hidden beast` number, since 54 + 70 + 1 + 534 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3393528516 + 2076624900 = 58254^2 + 45570^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1878970 + ... + 1881878.

Almost surely, 25470153416 is an apocalyptic number.

5470153416 is a gapful number since it is divisible by the number (56) 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 5470153416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509327100).

5470153416 is an abundant number, since it is smaller than the sum of its proper divisors (13548500784).

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

5470153416 is a wasteful number, since it uses less digits than its factorization.

5470153416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5470153416 is about 73960.4855040852. The cubic root of 5470153416 is about 1761.9753793345.

The spelling of 5470153416 in words is "five billion, four hundred seventy million, one hundred fifty-three thousand, four hundred sixteen".