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5939169376816 = 241328327299697
BaseRepresentation
bin101011001101101001000…
…0101001011101000110000
3210000210000220222201100101
41112123102011023220300
51234301404330024231
620344230003402144
71152043103514424
oct126332205135060
923023026881311
105939169376816
11198a873308955
127bb073983354
133410a47ba200
14167658cbcb84
15a475885e661
hex566d214ba30

5939169376816 has 120 divisors (see below), whose sum is σ = 12616442027280. Its totient is φ = 2706857607168.

The previous prime is 5939169376759. The next prime is 5939169376817. The reversal of 5939169376816 is 6186739619395.

It is not an unprimeable number, because it can be changed into a prime (5939169376817) 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 23 ways as a sum of consecutive naturals, for example, 612470080 + ... + 612479776.

It is an arithmetic number, because the mean of its divisors is an integer number (105137016894).

Almost surely, 25939169376816 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 5939169376816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308221013640).

5939169376816 is an abundant number, since it is smaller than the sum of its proper divisors (6677272650464).

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

5939169376816 is a wasteful number, since it uses less digits than its factorization.

5939169376816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12524 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 73.

The spelling of 5939169376816 in words is "five trillion, nine hundred thirty-nine billion, one hundred sixty-nine million, three hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 169 208 332 338 664 676 1079 1328 1352 2158 2704 2729 4316 5458 8632 9697 10916 14027 17264 19394 21832 28054 35477 38788 43664 56108 70954 77576 112216 126061 141908 155152 224432 226507 252122 283816 453014 461201 504244 567632 804851 906028 922402 1008488 1609702 1638793 1812056 1844804 2016976 2944591 3219404 3277586 3624112 3689608 5889182 6438808 6555172 7379216 10463063 11778364 12877616 13110344 20926126 23556728 26220688 26463113 38279683 41852252 47113456 52926226 76559366 83704504 105852452 136019819 153118732 167409008 211704904 272039638 306237464 344020469 423409808 544079276 612474928 688040938 1088158552 1376081876 2176317104 2196438379 2752163752 4392876758 4472266097 5504327504 8785753516 8944532194 17571507032 17889064388 28553698927 35143014064 35778128776 57107397854 71556257552 114214795708 228429591416 371198086051 456859182832 742396172102 1484792344204 2969584688408 5939169376816