Search a number
-
+
1376680694532 = 22311135315137009
BaseRepresentation
bin10100000010001000100…
…100000101001100000100
311212121110020121100010120
4110002020210011030010
5140023420224211112
62532234405021540
7201314300553513
oct24021044051404
94777406540116
101376680694532
114909353a8a10
121a29876b48b0
139ca8864a980
144a8bb56067a
1525c25ccae8c
hex14088905304

1376680694532 has 96 divisors (see below), whose sum is σ = 3845042732160. Its totient is φ = 377819719680.

The previous prime is 1376680694489. The next prime is 1376680694537. The reversal of 1376680694532 is 2354960866731.

It is not an unprimeable number, because it can be changed into a prime (1376680694537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7477557 + ... + 7659452.

It is an arithmetic number, because the mean of its divisors is an integer number (40052528460).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1376680694532 = 2753361389064, but 3⋅1376680694532 = 4130042083596 is not.

Almost surely, 21376680694532 is an apocalyptic number.

1376680694532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1376680694532 is an abundant number, since it is smaller than the sum of its proper divisors (2468362037628).

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

1376680694532 is a wasteful number, since it uses less digits than its factorization.

1376680694532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15137093 (or 15137091 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 1376680694532 in words is "one trillion, three hundred seventy-six billion, six hundred eighty million, six hundred ninety-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 53 66 78 106 132 143 156 159 212 286 318 429 572 583 636 689 858 1166 1378 1716 1749 2067 2332 2756 3498 4134 6996 7579 8268 15158 22737 30316 45474 90948 15137009 30274018 45411027 60548036 90822054 166507099 181644108 196781117 333014198 393562234 499521297 590343351 666028396 787124468 802261477 999042594 1180686702 1604522954 1998085188 2164592287 2361373404 2406784431 3209045908 4329184574 4813568862 6493776861 8658369148 8824876247 9627137724 10429399201 12987553722 17649752494 20858798402 25975107444 26474628741 31288197603 35299504988 41717596804 52949257482 62576395206 105898514964 114723391211 125152790412 229446782422 344170173633 458893564844 688340347266 1376680694532