Search a number
-
+
5496811542784 = 282342772
BaseRepresentation
bin100111111111101001101…
…1111111101100100000000
3201110111020020200102121201
41033333103133331210000
51210024432223332114
615405111140030544
71105063054125052
oct117772337754400
921414206612551
105496811542784
11182a2038a5951
1274939b092454
1330b468785363
141500933478d2
1597eb8486874
hex4ffd37fd900

5496811542784 has 135 divisors (see below), whose sum is σ = 11512444157697. Its totient is φ = 2619419218944.

The previous prime is 5496811542731. The next prime is 5496811542797. The reversal of 5496811542784 is 4872451186945.

The square root of 5496811542784 is 2344528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 947429689600 + 4549381853184 = 973360^2 + 2132928^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19844084854 + ... + 19844085130.

Almost surely, 25496811542784 is an apocalyptic number.

5496811542784 is the 2344528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5496811542784

5496811542784 is an abundant number, since it is smaller than the sum of its proper divisors (6015632614913).

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

5496811542784 is an frugal number, since it uses more digits than its factorization.

5496811542784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 302 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 64.

Multiplying 5496811542784 by its sum of digits (64), we get a square (351795938738176 = 187562242).

5496811542784 divided by its sum of digits (64) gives a square (85887680356 = 2930662).

The spelling of 5496811542784 in words is "five trillion, four hundred ninety-six billion, eight hundred eleven million, five hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 277 368 529 554 736 1058 1108 1472 2116 2216 2944 4232 4432 5888 6371 8464 8864 12167 12742 16928 17728 24334 25484 33856 35456 48668 50968 67712 70912 76729 97336 101936 135424 146533 153458 194672 203872 279841 293066 306916 389344 407744 559682 586132 613832 778688 815488 1119364 1172264 1227664 1557376 1630976 1764767 2238728 2344528 2455328 3114752 3370259 3529534 4477456 4689056 4910656 6740518 7059068 8954912 9378112 9821312 13481036 14118136 17909824 18756224 19642624 26962072 28236272 35819648 37512448 40589641 53924144 56472544 71639296 77515957 81179282 107848288 112945088 155031914 162358564 215696576 225890176 310063828 324717128 431393152 451780352 620127656 649434256 862786304 933561743 1240255312 1298868512 1867123486 2480510624 2597737024 3734246972 4961021248 5195474048 7468493944 9922042496 10390948096 14936987888 19844084992 21471920089 29873975776 42943840178 59747951552 85887680356 119495903104 171775360712 238991806208 343550721424 687101442848 1374202885696 2748405771392 5496811542784