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1386567480676 = 227224123492
BaseRepresentation
bin10100001011010101110…
…111001011010101100100
311220112222021100010001011
4110023111313023111210
5140204142233340201
62540551425112004
7202114302060100
oct24132567132544
94815867303034
101386567480676
11495049216754
121a4886788604
13a09a2a48ca1
144b178652900
1526103c74151
hex142d5dcb564

1386567480676 has 81 divisors (see below), whose sum is σ = 2842560896427. Its totient is φ = 590081829120.

The previous prime is 1386567480631. The next prime is 1386567480689. The reversal of 1386567480676 is 6760847656831.

The square root of 1386567480676 is 1177526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 327726480676 + 1058841000000 = 572474^2 + 1029000^2 .

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, 3972972550 + ... + 3972972898.

Almost surely, 21386567480676 is an apocalyptic number.

1386567480676 is the 1177526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386567480676

1386567480676 is an abundant number, since it is smaller than the sum of its proper divisors (1455993415751).

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

1386567480676 is an frugal number, since it uses more digits than its factorization.

1386567480676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 67.

The spelling of 1386567480676 in words is "one trillion, three hundred eighty-six billion, five hundred sixty-seven million, four hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 241 349 482 698 964 1396 1687 2443 3374 4886 6748 9772 11809 17101 23618 34202 47236 58081 68404 84109 116162 121801 168218 232324 243602 336436 406567 487204 588763 813134 852607 1177526 1626268 1705214 2355052 2845969 3410428 4121341 5691938 5968249 8242682 11383876 11936498 16485364 20270269 23872996 29354041 40540538 58708082 81081076 117416164 141891883 205478287 283783766 410956574 567567532 821913148 993243181 1438348009 1986486362 2876696018 3972972724 5753392036 7074323881 14148647762 28297295524 49520267167 99040534334 198081068668 346641870169 693283740338 1386567480676