Search a number
-
+
574428672000 = 2123105319
BaseRepresentation
bin10000101101111101001…
…11011111000000000000
32000220200220220000000000
420112332213133000000
533402412220001000
61115520000000000
756333610102231
oct10267647370000
92026626800000
10574428672000
11201683012377
12933b3000000
1342225c56ab1
141db34099088
15ee1ee43000
hex85be9df000

574428672000 has 1144 divisors, whose sum is σ = 2263564502160. Its totient is φ = 145118822400.

The previous prime is 574428671951. The next prime is 574428672001. The reversal of 574428672000 is 276824475.

It is a happy number.

574428672000 is a `hidden beast` number, since 574 + 4 + 2 + 8 + 6 + 72 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (574428672001) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 30233087991 + ... + 30233088009.

Almost surely, 2574428672000 is an apocalyptic number.

574428672000 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 574428672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131782251080).

574428672000 is an abundant number, since it is smaller than the sum of its proper divisors (1689135830160).

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

574428672000 is an frugal number, since it uses more digits than its factorization.

574428672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 574428672000 in words is "five hundred seventy-four billion, four hundred twenty-eight million, six hundred seventy-two thousand".