Search a number
-
+
1376811838188 = 223383646923743
BaseRepresentation
bin10100000010010000011…
…000010110101011101100
311212121210101101010102000
4110002100120112223230
5140024202312310223
62532255411532300
7201320452346523
oct24022030265354
94777711333360
101376811838188
114909a24310a6
121a2a035ba090
139caa9876b77
144a8d0b3b4ba
1525c32583543
hex14090616aec

1376811838188 has 96 divisors (see below), whose sum is σ = 3613228953600. Its totient is φ = 453318731712.

The previous prime is 1376811838163. The next prime is 1376811838189. The reversal of 1376811838188 is 8818381186731.

1376811838188 is a `hidden beast` number, since 1 + 3 + 7 + 68 + 118 + 381 + 88 = 666.

It is a super-2 number, since 2×13768118381882 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1376811838189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57976245 + ... + 57999987.

It is an arithmetic number, because the mean of its divisors is an integer number (37637801600).

Almost surely, 21376811838188 is an apocalyptic number.

1376811838188 is a gapful number since it is divisible by the number (18) 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 1376811838188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806614476800).

1376811838188 is an abundant number, since it is smaller than the sum of its proper divisors (2236417115412).

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

1376811838188 is a wasteful number, since it uses less digits than its factorization.

1376811838188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30308 (or 30300 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 63.

The spelling of 1376811838188 in words is "one trillion, three hundred seventy-six billion, eight hundred eleven million, eight hundred thirty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 6469 8964 12938 19407 23743 25876 38814 47486 58221 71229 77628 94972 116442 142458 174663 213687 232884 284916 349326 427374 536927 641061 698652 854748 1073854 1282122 1610781 1970669 2147708 2564244 3221562 3941338 4832343 5912007 6443124 7882676 9664686 11824014 14497029 17736021 19329372 23648028 28994058 35472042 53208063 57988116 70944084 106416126 153593467 212832252 307186934 460780401 614373868 921560802 1382341203 1843121604 2764682406 4147023609 5529364812 8294047218 12748257761 16588094436 25496515522 38244773283 50993031044 76489546566 114734319849 152979093132 229468639698 344202959547 458937279396 688405919094 1376811838188