Search a number
-
+
556649895872 = 2675338361211
BaseRepresentation
bin10000001100110101110…
…10110101011111000000
31222012210212222121002002
420012122322311133000
533110004333131442
61103415455043132
755134206021540
oct10063272653700
91865725877062
10556649895872
111a508a399764
128ba70b104a8
1340651802015
141cd28bb7320
15e72e1d7732
hex819aeb57c0

556649895872 has 112 divisors (see below), whose sum is σ = 1289600704512. Its totient is φ = 233448084480.

The previous prime is 556649895871. The next prime is 556649895877. The reversal of 556649895872 is 278598946655.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 556649895872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556649895871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9063347 + ... + 9124557.

Almost surely, 2556649895872 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 556649895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644800352256).

556649895872 is an abundant number, since it is smaller than the sum of its proper divisors (732950808640).

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

556649895872 is a wasteful number, since it uses less digits than its factorization.

556649895872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61666 (or 61656 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 74.

The spelling of 556649895872 in words is "five hundred fifty-six billion, six hundred forty-nine million, eight hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 383 424 448 742 766 848 1484 1532 1696 2681 2968 3064 3392 5362 5936 6128 10724 11872 12256 20299 21448 23744 24512 40598 42896 61211 81196 85792 122422 142093 162392 171584 244844 284186 324784 428477 489688 568372 649568 856954 979376 1136744 1299136 1713908 1958752 2273488 3244183 3427816 3917504 4546976 6488366 6855632 9093952 12976732 13711264 22709281 23443813 25953464 27422528 45418562 46887626 51906928 90837124 93775252 103813856 164106691 181674248 187550504 207627712 328213382 363348496 375101008 656426764 726696992 750202016 1242522089 1312853528 1453393984 1500404032 2485044178 2625707056 4970088356 5251414112 8697654623 9940176712 10502828224 17395309246 19880353424 34790618492 39760706848 69581236984 79521413696 139162473968 278324947936 556649895872