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1069778016 = 2534715813
BaseRepresentation
bin111111110000111…
…000010001100000
32202112222100120000
4333300320101200
54142330344031
6254053020000
735336651226
oct7760702140
92675870500
101069778016
114a995306a
1225a324600
1314082b958
14a2112b16
1563db63e6
hex3fc38460

1069778016 has 120 divisors (see below), whose sum is σ = 3191048784. Its totient is φ = 351509760.

The previous prime is 1069777999. The next prime is 1069778041. The reversal of 1069778016 is 6108779601.

It is a super-2 number, since 2×10697780162 = 2288850007033792512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181126 + ... + 186938.

Almost surely, 21069778016 is an apocalyptic number.

1069778016 is a gapful number since it is divisible by the number (16) 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 1069778016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595524392).

1069778016 is an abundant number, since it is smaller than the sum of its proper divisors (2121270768).

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

1069778016 is an equidigital number, since it uses as much as digits as its factorization.

1069778016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1069778016 is about 32707.4611671404. The cubic root of 1069778016 is about 1022.7383856441.

The spelling of 1069778016 in words is "one billion, sixty-nine million, seven hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 5813 6816 7668 10224 11502 11626 15336 17439 20448 23004 23252 30672 34878 46008 46504 52317 61344 69756 92016 93008 104634 139512 156951 184032 186016 209268 279024 313902 412723 418536 470853 558048 627804 825446 837072 941706 1238169 1255608 1650892 1674144 1883412 2476338 2511216 3301784 3714507 3766824 4952676 5022432 6603568 7429014 7533648 9905352 11143521 13207136 14858028 15067296 19810704 22287042 29716056 33430563 39621408 44574084 59432112 66861126 89148168 118864224 133722252 178296336 267444504 356592672 534889008 1069778016