Search a number
-
+
1057226379216 = 243752122732657
BaseRepresentation
bin11110110001001111001…
…10100100111111010000
310202001212220221200210120
433120213212210333100
5114310144423113331
62125403314230240
7136245024643530
oct17304746447720
93661786850716
101057226379216
11378404802677
12150a92b85380
13789082036a7
14392547c14c0
151c77a740796
hexf6279a4fd0

1057226379216 has 160 divisors (see below), whose sum is σ = 3129879460608. Its totient is φ = 301238845440.

The previous prime is 1057226379173. The next prime is 1057226379229. The reversal of 1057226379216 is 6129736227501.

It is a super-2 number, since 2×10572263792162 (a number of 25 digits) 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 31 ways as a sum of consecutive naturals, for example, 397900960 + ... + 397903616.

Almost surely, 21057226379216 is an apocalyptic number.

1057226379216 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 1057226379216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564939730304).

1057226379216 is an abundant number, since it is smaller than the sum of its proper divisors (2072653081392).

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

1057226379216 is a wasteful number, since it uses less digits than its factorization.

1057226379216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 1057226379216 in words is "one trillion, fifty-seven billion, two hundred twenty-six million, three hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 521 1042 1563 2084 2273 2657 3126 3647 4168 4546 5314 6252 6819 7294 7971 8336 9092 10628 10941 12504 13638 14588 15911 15942 18184 18599 21256 21882 25008 27276 29176 31822 31884 36368 37198 42512 43764 47733 54552 55797 58352 63644 63768 74396 87528 95466 109104 111594 127288 127536 148792 175056 190932 223188 254576 297584 381864 446376 763728 892752 1184233 1384297 2368466 2768594 3552699 4152891 4736932 5537188 6039361 7105398 8289631 8305782 9473864 9690079 11074376 12078722 14210796 16579262 16611564 18118083 18947728 19380158 22148752 24157444 24868893 28421592 29070237 33158524 33223128 36236166 38760316 42275527 48314888 49737786 56843184 58140474 66317048 66446256 72472332 77520632 84551054 96629776 99475572 116280948 126826581 132634096 144944664 155041264 169102108 198951144 232561896 253653162 289889328 338204216 397902288 465123792 507306324 676408432 1014612648 2029225296 3146507081 6293014162 9439521243 12586028324 18879042486 22025549567 25172056648 37758084972 44051099134 50344113296 66076648701 75516169944 88102198268 132153297402 151032339888 176204396536 264306594804 352408793072 528613189608 1057226379216