Search a number
-
+
5442667883520 = 210357291745519
BaseRepresentation
bin100111100110011100001…
…0010010010110000000000
3201021022110212211120002020
41033030320102102300000
51203133040434233040
615324154353321440
71101135245455050
oct117147022226000
921238425746066
105442667883520
11180924a14830a
1273a9aa566280
1330631a40515a
1414b5d8589560
1596899e40cd0
hex4f338492c00

5442667883520 has 352 divisors, whose sum is σ = 20580937574400. Its totient is φ = 1201139810304.

The previous prime is 5442667883503. The next prime is 5442667883647. The reversal of 5442667883520 is 253887662445.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245321 + ... + 3990839.

Almost surely, 25442667883520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5442667883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290468787200).

5442667883520 is an abundant number, since it is smaller than the sum of its proper divisors (15138269690880).

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

5442667883520 is a wasteful number, since it uses less digits than its factorization.

5442667883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745583 (or 1745565 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 5442667883520 in words is "five trillion, four hundred forty-two billion, six hundred sixty-seven million, eight hundred eighty-three thousand, five hundred twenty".