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1678232407137 = 3111321717701193
BaseRepresentation
bin11000011010111110011…
…100100100110001100001
312221102210220100112101220
4120122332130210301201
5204444004444012022
63322545212445253
7232151110043466
oct30327634446141
95842726315356
101678232407137
11597809495920
12231304779829
13c2344aa6600
145b3267c766d
152d9c47eb85c
hex186be724c61

1678232407137 has 48 divisors (see below), whose sum is σ = 2798771185728. Its totient is φ = 883643504640.

The previous prime is 1678232407123. The next prime is 1678232407141. The reversal of 1678232407137 is 7317042328761.

It is a happy number.

It is not a de Polignac number, because 1678232407137 - 27 = 1678232407009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1678232407137.

It is not an unprimeable number, because it can be changed into a prime (1678232407237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8755788 + ... + 8945405.

It is an arithmetic number, because the mean of its divisors is an integer number (58307733036).

Almost surely, 21678232407137 is an apocalyptic number.

1678232407137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1678232407137 is a deficient number, since it is larger than the sum of its proper divisors (1120538778591).

1678232407137 is a wasteful number, since it uses less digits than its factorization.

1678232407137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17701250 (or 17701237 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 1678232407137 in words is "one trillion, six hundred seventy-eight billion, two hundred thirty-two million, four hundred seven thousand, one hundred thirty-seven".

Divisors: 1 3 11 13 17 33 39 51 143 169 187 221 429 507 561 663 1859 2431 2873 5577 7293 8619 31603 94809 17701193 53103579 194713123 230115509 300920281 584139369 690346527 902760843 2531270599 2991501617 3310123091 3911963653 7593811797 8974504851 9930369273 11735890959 32906517787 43031600183 50855527489 98719553361 129094800549 152566582467 559410802379 1678232407137