Search a number
-
+
561020497920 = 21233517371613
BaseRepresentation
bin10000010100111110110…
…11010111000000000000
31222122002111001011222000
420022133123113000000
533142432221413140
61105421304144000
755350416356551
oct10123733270000
91878074034860
10561020497920
111a6a22499773
1290890768000
1340b9a14108c
141d22143c328
15e8d7c65a30
hex829f6d7000

561020497920 has 832 divisors, whose sum is σ = 2170240179840. Its totient is φ = 136914665472.

The previous prime is 561020497897. The next prime is 561020497987. The reversal of 561020497920 is 29794020165.

561020497920 is a `hidden beast` number, since 5 + 610 + 2 + 0 + 4 + 9 + 7 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347811034 + ... + 347812646.

Almost surely, 2561020497920 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 561020497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085120089920).

561020497920 is an abundant number, since it is smaller than the sum of its proper divisors (1609219681920).

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

561020497920 is a wasteful number, since it uses less digits than its factorization.

561020497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 561020497920 in words is "five hundred sixty-one billion, twenty million, four hundred ninety-seven thousand, nine hundred twenty".