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1062971114964 = 2231119233616637
BaseRepresentation
bin11110111011111100000…
…01000000010111010100
310202121201021200111202020
433131332001000113110
5114403431101134324
62132153332013140
7136540262253333
oct17357601002724
93677637614666
101062971114964
1137a892534670
12152016a611b0
1379312435905
143963b743d1a
151c9b4c54679
hexf77e0405d4

1062971114964 has 144 divisors (see below), whose sum is σ = 2856927439296. Its totient is φ = 305022412800.

The previous prime is 1062971114923. The next prime is 1062971114977. The reversal of 1062971114964 is 4694111792601.

1062971114964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10629711149642 (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 47 ways as a sum of consecutive naturals, for example, 160155054 + ... + 160161690.

It is an arithmetic number, because the mean of its divisors is an integer number (19839773884).

Almost surely, 21062971114964 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 1062971114964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428463719648).

1062971114964 is an abundant number, since it is smaller than the sum of its proper divisors (1793956324332).

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

1062971114964 is a wasteful number, since it uses less digits than its factorization.

1062971114964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 1062971114964 in words is "one trillion, sixty-two billion, nine hundred seventy-one million, one hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 361 418 627 722 836 1083 1254 1444 2166 2508 3361 3971 4332 6637 6722 7942 10083 11913 13274 13444 15884 19911 20166 23826 26548 36971 39822 40332 47652 63859 73007 73942 79644 110913 126103 127718 146014 147884 191577 219021 221826 252206 255436 292028 378309 383154 438042 443652 504412 702449 756618 766308 876084 1213321 1387133 1404898 1513236 2107347 2395957 2426642 2774266 2809796 3639963 4161399 4214694 4791914 4853284 5548532 7187871 7279926 8322798 8429388 9583828 13346531 14375742 14559852 16645596 22306957 26355527 26693062 28751484 40039593 44613914 52711054 53386124 66920871 79066581 80079186 89227828 105422108 133841742 158133162 160158372 245376527 267683484 316266324 423832183 490753054 736129581 847664366 981506108 1271496549 1472259162 1695328732 2542993098 2944518324 4662154013 5085986196 8052811477 9324308026 13986462039 16105622954 18648616052 24158434431 27972924078 32211245908 48316868862 55945848156 88580926247 96633737724 177161852494 265742778741 354323704988 531485557482 1062971114964