Search a number
-
+
5513695711876 = 221143123132
BaseRepresentation
bin101000000111100000111…
…0111111101001010000100
3201112002210221020002101201
41100033001313331022010
51210314022100240001
615420542402232244
71106231343160612
oct120170167751204
921462727202351
105513695711876
111836388540000
12750711655684
1330cc29781361
14150c158b46b2
15986558cd501
hex503c1dfd284

5513695711876 has 135 divisors (see below), whose sum is σ = 11002374466965. Its totient is φ = 2417630529600.

The previous prime is 5513695711859. The next prime is 5513695711877. The reversal of 5513695711876 is 6781175963155.

The square root of 5513695711876 is 2348126.

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., 35175002500 + 5478520709376 = 187550^2 + 2340624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5513695711877) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17615641096 + ... + 17615641408.

Almost surely, 25513695711876 is an apocalyptic number.

5513695711876 is the 2348126-th square number.

It is an amenable number.

5513695711876 is a deficient number, since it is larger than the sum of its proper divisors (5488678755089).

5513695711876 is an frugal number, since it uses more digits than its factorization.

5513695711876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 357 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 64.

Multiplying 5513695711876 by its sum of digits (64), we get a square (352876525560064 = 187850082).

The spelling of 5513695711876 in words is "five trillion, five hundred thirteen billion, six hundred ninety-five million, seven hundred eleven thousand, eight hundred seventy-six".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 313 341 484 626 682 961 1252 1331 1364 1922 2662 3443 3751 3844 5324 6886 7502 9703 10571 13772 14641 15004 19406 21142 29282 37873 38812 41261 42284 58564 75746 82522 97969 106733 116281 151492 165044 195938 213466 232562 300793 391876 416603 426932 453871 465124 601586 833206 907742 1077659 1174063 1203172 1279091 1666412 1815484 2155318 2348126 2558182 3037039 3308723 4310636 4582633 4696252 5116364 6074078 6617446 9165266 11854249 12148156 12914693 13234892 14070001 18330532 23708498 25829386 28140002 33407429 36395953 47416996 51658772 56280004 66814858 72791906 94148209 130396739 133629716 142061623 145583812 188296418 260793478 284123246 367481719 376592836 400355483 521586956 568246492 734963438 800710966 1035630299 1434364129 1469926876 1601421932 2071260598 2868728258 4042298909 4142521196 4403910313 5737456516 8084597818 8807820626 11391933289 16169195636 17615641252 22783866578 44465287999 45567733156 88930575998 125311266179 177861151996 250622532358 501245064716 1378423927969 2756847855938 5513695711876