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1068171872976 = 243213904163113
BaseRepresentation
bin11111000101101000000…
…00010100101011010000
310210010010201211101112100
433202310000110223100
5120000103444413401
62134413354200400
7140113203053205
oct17426400245320
93703121741470
101068171872976
113820111a208a
12153028723100
1379960a55810
14399b2343cac
151cbbb614b86
hexf8b4014ad0

1068171872976 has 120 divisors (see below), whose sum is σ = 3219758437896. Its totient is φ = 328626708480.

The previous prime is 1068171872947. The next prime is 1068171872987. The reversal of 1068171872976 is 6792781718601.

It can be written as a sum of positive squares in 4 ways, for example, as 99868640400 + 968303232576 = 316020^2 + 984024^2 .

It is a super-2 number, since 2×10681718729762 (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 23 ways as a sum of consecutive naturals, for example, 16893196 + ... + 16956308.

Almost surely, 21068171872976 is an apocalyptic number.

1068171872976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1068171872976 is an abundant number, since it is smaller than the sum of its proper divisors (2151586564920).

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

1068171872976 is a wasteful number, since it uses less digits than its factorization.

1068171872976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72181 (or 72172 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 1068171872976 in words is "one trillion, sixty-eight billion, one hundred seventy-one million, eight hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 9041 18082 27123 36164 54246 63113 72328 81369 108492 117533 126226 144656 162738 189339 216984 235066 252452 325476 352599 378678 433968 470132 504904 568017 650952 705198 757356 820469 940264 1009808 1057797 1136034 1301904 1410396 1514712 1640938 1880528 2115594 2272068 2461407 2820792 3029424 3281876 4231188 4544136 4922814 5641584 6563752 7384221 8462376 9088272 9845628 13127504 14768442 16924752 19691256 29536884 39382512 59073768 118147536 570604633 1141209266 1711813899 2282418532 3423627798 4564837064 5135441697 6847255596 7417860229 9129674128 10270883394 13694511192 14835720458 20541766788 22253580687 27389022384 29671440916 41083533576 44507161374 59342881832 66760742061 82167067152 89014322748 118685763664 133521484122 178028645496 267042968244 356057290992 534085936488 1068171872976