Search a number
-
+
1683801345138 = 2311971391892171
BaseRepresentation
bin11000100000001010011…
…000011000110001110010
312221222012000021220011220
4120200022120120301302
5210041411121021023
63325305550245510
7232436111166363
oct30401230306162
95858160256156
101683801345138
1159a106a65420
122323b97b6896
13c2a217765b3
145b6d4267b6a
152dbed6873e3
hex1880a618c72

1683801345138 has 64 divisors (see below), whose sum is σ = 3738326376960. Its totient is φ = 501349363200.

The previous prime is 1683801345137. The next prime is 1683801345169. The reversal of 1683801345138 is 8315431083861.

It is not an unprimeable number, because it can be changed into a prime (1683801345137) 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, 56208 + ... + 1835963.

It is an arithmetic number, because the mean of its divisors is an integer number (58411349640).

Almost surely, 21683801345138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683801345138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869163188480).

1683801345138 is an abundant number, since it is smaller than the sum of its proper divisors (2054525031822).

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

1683801345138 is a wasteful number, since it uses less digits than its factorization.

1683801345138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892423.

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1683801345138 in words is "one trillion, six hundred eighty-three billion, eight hundred one million, three hundred forty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 97 139 194 278 291 417 582 834 1067 1529 2134 3058 3201 4587 6402 9174 13483 26966 40449 80898 148313 296626 444939 889878 1892171 3784342 5676513 11353026 20813881 41627762 62441643 124883286 183540587 263011769 367081174 526023538 550621761 789035307 1101243522 1578070614 2018946457 2893129459 4037892914 5786258918 6056839371 8679388377 12113678742 17358776754 25512141593 51024283186 76536424779 153072849558 280633557523 561267115046 841900672569 1683801345138