Search a number
-
+
4775215104 = 221321123
BaseRepresentation
bin1000111001010000…
…00000000000000000
3110022210102001122200
410130220000000000
534234423340404
62105501233200
7226222441632
oct43450000000
913283361580
104775215104
112030536870
12b13262800
135b140728a
143342aaa52
151ce353839
hex11ca00000

4775215104 has 264 divisors, whose sum is σ = 15703470432. Its totient is φ = 1384120320.

The previous prime is 4775215069. The next prime is 4775215157. The reversal of 4775215104 is 4015125774.

It is a tau number, because it is divible by the number of its divisors (264).

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 11 ways as a sum of consecutive naturals, for example, 207618037 + ... + 207618059.

Almost surely, 24775215104 is an apocalyptic number.

4775215104 is a gapful number since it is divisible by the number (44) 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 4775215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851735216).

4775215104 is an abundant number, since it is smaller than the sum of its proper divisors (10928255328).

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

4775215104 is an frugal number, since it uses more digits than its factorization.

4775215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 4775215104 is about 69102.9312258170. The cubic root of 4775215104 is about 1683.9569313615.

The spelling of 4775215104 in words is "four billion, seven hundred seventy-five million, two hundred fifteen thousand, one hundred four".