Search a number
-
+
13564493043712 = 211132121732203
BaseRepresentation
bin1100010101100011101011…
…0010100001100000000000
31210000202022211202022112121
43011120322302201200000
53234220040204344322
644503235253334024
72600000532324412
oct305307262414000
953022284668477
1013564493043712
11435a73a774516
121630a81337314
13775184372800
1434c74c7169b2
15187c9c1d4ec7
hexc563aca1800

13564493043712 has 144 divisors (see below), whose sum is σ = 29394230949720. Its totient is φ = 6255196766208.

The previous prime is 13564493043677. The next prime is 13564493043727. The reversal of 13564493043712 is 21734039446531.

It is a super-2 number, since 2×135644930437122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 13564493043712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421202203 + ... + 421234405.

Almost surely, 213564493043712 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 13564493043712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697115474860).

13564493043712 is an abundant number, since it is smaller than the sum of its proper divisors (15829737906008).

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

13564493043712 is a wasteful number, since it uses less digits than its factorization.

13564493043712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33468 (or 33435 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 13564493043712 in words is "thirteen trillion, five hundred sixty-four billion, four hundred ninety-three million, forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1217 1352 1664 2048 2434 2704 3328 4868 5408 6656 9736 10816 13312 15821 19472 21632 26624 31642 32203 38944 43264 63284 64406 77888 86528 126568 128812 155776 173056 205673 253136 257624 311552 346112 411346 418639 506272 515248 623104 822692 837278 1012544 1030496 1246208 1645384 1674556 2025088 2060992 2492416 3290768 3349112 4050176 4121984 5442307 6581536 6698224 8100352 8243968 10884614 13163072 13396448 16200704 16487936 21769228 26326144 26792896 32401408 32975872 39191051 43538456 52652288 53585792 65951744 78382102 87076912 105304576 107171584 156764204 174153824 210609152 214343168 313528408 348307648 421218304 428686336 509483663 627056816 696615296 857372672 1018967326 1254113632 1393230592 2037934652 2508227264 2786461184 4075869304 5016454528 5572922368 6623287619 8151738608 10032909056 11145844736 13246575238 16303477216 20065818112 26493150476 32606954432 40131636224 52986300952 65213908864 80263272448 105972601904 130427817728 211945203808 260855635456 423890407616 521711270912 847780815232 1043422541824 1695561630464 3391123260928 6782246521856 13564493043712