Search a number
-
+
561029780532 = 2231317631335261
BaseRepresentation
bin10000010100111111111…
…10110001010000110100
31222122010010111210022110
420022133332301100310
533142442110434112
61105422235131020
755350561310554
oct10123776612064
91878103453273
10561029780532
111a6a27759951
12908938a3a70
1340b9c041250
141d222777164
15e8d899b13c
hex829ffb1434

561029780532 has 96 divisors (see below), whose sum is σ = 1495064680704. Its totient is φ = 162212198400.

The previous prime is 561029780501. The next prime is 561029780533. The reversal of 561029780532 is 235087920165.

561029780532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561029780533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505782 + ... + 1841042.

It is an arithmetic number, because the mean of its divisors is an integer number (15573590424).

Almost surely, 2561029780532 is an apocalyptic number.

561029780532 is a gapful number since it is divisible by the number (52) 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 561029780532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747532340352).

561029780532 is an abundant number, since it is smaller than the sum of its proper divisors (934034900172).

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

561029780532 is a wasteful number, since it uses less digits than its factorization.

561029780532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335929 (or 335927 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 561029780532 in words is "five hundred sixty-one billion, twenty-nine million, seven hundred eighty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 631 663 884 1262 1326 1893 2524 2652 3786 7572 8203 10727 16406 21454 24609 32181 32812 42908 49218 64362 98436 128724 139451 278902 335261 418353 557804 670522 836706 1005783 1341044 1673412 2011566 4023132 4358393 5699437 8716786 11398874 13075179 17098311 17433572 22797748 26150358 34196622 52300716 68393244 74092681 148185362 211549691 222278043 296370724 423099382 444556086 634649073 846198764 889112172 1269298146 2538596292 2750145983 3596344747 5500291966 7192689494 8250437949 10789034241 11000583932 14385378988 16500875898 21578068482 33001751796 43156136964 46752481711 93504963422 140257445133 187009926844 280514890266 561029780532