Search a number
-
+
474399636480 = 2103257111931227
BaseRepresentation
bin1101110011101000110…
…10111111110000000000
31200100111201121111111200
412321310122333300000
530233032301331410
61001534114341200
746163031243120
oct6716432776000
91610451544450
10474399636480
11173212255480
1277b3758a800
133597441c393
1418d6523ac80
15c5183c03c0
hex6e746bfc00

474399636480 has 2112 divisors, whose sum is σ = 2236652421120. Its totient is φ = 89977651200.

The previous prime is 474399636479. The next prime is 474399636569. The reversal of 474399636480 is 84636993474.

474399636480 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 99 + 63 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×4743996364802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2089866127 + ... + 2089866353.

Almost surely, 2474399636480 is an apocalyptic number.

474399636480 is a gapful number since it is divisible by the number (40) 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 474399636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118326210560).

474399636480 is an abundant number, since it is smaller than the sum of its proper divisors (1762252784640).

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

474399636480 is a wasteful number, since it uses less digits than its factorization.

474399636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 474399636480 in words is "four hundred seventy-four billion, three hundred ninety-nine million, six hundred thirty-six thousand, four hundred eighty".