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5511162732416 = 271121135951673
BaseRepresentation
bin101000000110010101011…
…1001011001111110000000
3201111212021101222101210122
41100030222321121332000
51210243330124414131
615415443155515412
71106111515204055
oct120145271317600
921455241871718
105511162732416
1118352a8761050
127501252b8b68
1330c914a75a43
14150a5531b02c
159855833ad7b
hex5032ae59f80

5511162732416 has 128 divisors (see below), whose sum is σ = 12067904620800. Its totient is φ = 2486208614400.

The previous prime is 5511162732407. The next prime is 5511162732421. The reversal of 5511162732416 is 6142372611155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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, 106628756 + ... + 106680428.

It is an arithmetic number, because the mean of its divisors is an integer number (94280504850).

Almost surely, 25511162732416 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 5511162732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033952310400).

5511162732416 is an abundant number, since it is smaller than the sum of its proper divisors (6556741888384).

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

5511162732416 is a wasteful number, since it uses less digits than its factorization.

5511162732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52268 (or 52256 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The spelling of 5511162732416 in words is "five trillion, five hundred eleven billion, one hundred sixty-two million, seven hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 211 352 359 422 704 718 844 1408 1436 1688 2321 2872 3376 3949 4642 5744 6752 7898 9284 11488 13504 15796 18568 22976 27008 31592 37136 45952 51673 63184 74272 75749 103346 126368 148544 151498 206692 252736 297088 302996 413384 505472 568403 605992 826768 833239 1136806 1211984 1653536 1666478 2273612 2423968 3307072 3332956 4547224 4847936 6614144 6665912 9094448 9695872 10903003 13331824 18188896 18550607 21806006 26663648 36377792 37101214 43612012 53327296 72755584 74202428 87224024 106654592 119933033 148404856 174448048 204056677 239866066 296809712 348896096 408113354 479732132 593619424 697792192 816226708 959464264 1187238848 1395584384 1632453416 1918928528 2374477696 3264906832 3837857056 3914178077 6529813664 7675714112 7828356154 13059627328 15351428224 15656712308 26119254656 31313424616 43055958847 62626849232 86111917694 125253698464 172223835388 250507396928 344447670776 501014793856 688895341552 1377790683104 2755581366208 5511162732416