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1069555804464 = 243731503204143
BaseRepresentation
bin11111001000001100111…
…11100110100100110000
310210020201011221101122010
433210012133212210300
5120010422241220324
62135202552442520
7140162406222660
oct17440637464460
93706634841563
101069555804464
11382661406314
121533540a9440
1379b216994a4
1439aa40721a0
151cc4cd83829
hexf9067e6930

1069555804464 has 160 divisors (see below), whose sum is σ = 3266094956544. Its totient is φ = 295140337920.

The previous prime is 1069555804439. The next prime is 1069555804469. The reversal of 1069555804464 is 4644085559601.

1069555804464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10695558044642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1069555804469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5137177 + ... + 5341319.

Almost surely, 21069555804464 is an apocalyptic number.

1069555804464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069555804464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633047478272).

1069555804464 is an abundant number, since it is smaller than the sum of its proper divisors (2196539152080).

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

1069555804464 is a wasteful number, since it uses less digits than its factorization.

1069555804464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204695 (or 204689 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 1069555804464 in words is "one trillion, sixty-nine billion, five hundred fifty-five million, eight hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 503 651 744 868 1006 1302 1488 1509 1736 2012 2604 3018 3472 3521 4024 5208 6036 7042 8048 10416 10563 12072 14084 15593 21126 24144 28168 31186 42252 46779 56336 62372 84504 93558 109151 124744 169008 187116 204143 218302 249488 327453 374232 408286 436604 612429 654906 748464 816572 873208 1224858 1309812 1429001 1633144 1746416 2449716 2619624 2858002 3266288 4287003 4899432 5239248 5716004 6328433 8574006 9798864 11432008 12656866 17148012 18985299 22864016 25313732 34296024 37970598 44299031 50627464 68592048 75941196 88598062 101254928 102683929 132897093 151882392 177196124 205367858 265794186 303764784 308051787 354392248 410735716 531588372 616103574 708784496 718787503 821471432 1063176744 1232207148 1437575006 1642942864 2126353488 2156362509 2464414296 2875150012 3183201799 4312725018 4928828592 5750300024 6366403598 8625450036 9549605397 11500600048 12732807196 17250900072 19099210794 22282412593 25465614392 34501800144 38198421588 44564825186 50931228784 66847237779 76396843176 89129650372 133694475558 152793686352 178259300744 267388951116 356518601488 534777902232 1069555804464