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1069428993424 = 2411219212372
BaseRepresentation
bin11111000111111101110…
…11110110110110010000
310210020101100022201120221
433203332323312312100
5120010142310242144
62135142222442424
7140156306313331
oct17437673666620
93706340281527
101069428993424
113825a6872300
12153319733414
1379b0132937c
1439a912a2288
151cc41b84d84
hexf8feef6d90

1069428993424 has 135 divisors (see below), whose sum is σ = 2405630594241. Its totient is φ = 460147374720.

The previous prime is 1069428993403. The next prime is 1069428993469. The reversal of 1069428993424 is 4243998249601.

It is a happy number.

The square root of 1069428993424 is 1034132.

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., 807661690000 + 261767303424 = 898700^2 + 511632^2 .

It is a super-2 number, since 2×10694289934242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 864533734 + ... + 864534970.

Almost surely, 21069428993424 is an apocalyptic number.

1069428993424 is the 1034132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069428993424

1069428993424 is an abundant number, since it is smaller than the sum of its proper divisors (1336201600817).

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

1069428993424 is an equidigital number, since it uses as much as digits as its factorization.

1069428993424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 1069428993424 in words is "one trillion, sixty-nine billion, four hundred twenty-eight million, nine hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1237 1444 1672 1936 2299 2474 2888 3344 3971 4598 4948 5776 7942 9196 9896 13607 15884 18392 19792 23503 27214 31768 36784 43681 47006 54428 63536 87362 94012 108856 149677 174724 188024 217712 258533 299354 349448 376048 446557 517066 598708 698896 893114 1034132 1197416 1530169 1786228 2068264 2394832 2843863 3060338 3572456 4136528 4912127 5687726 6120676 7144912 9824254 11375452 12241352 16831859 19648508 22750904 24482704 29073211 33663718 39297016 45501808 54033397 58146422 67327436 78594032 108066794 116292844 134654872 185150449 216133588 232585688 269309744 319805321 370300898 432267176 465171376 552391009 639610642 740601796 864534352 1104782018 1279221284 1481203592 2209564036 2558442568 2962407184 3517858531 4419128072 5116885136 6076301099 7035717062 8838256144 12152602198 14071434124 24305204396 28142868248 48610408792 56285736496 66839312089 97220817584 133678624178 267357248356 534714496712 1069428993424