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1225137738168 = 233341138339853
BaseRepresentation
bin10001110100111111111…
…001100101000110111000
311100010021221210112001000
4101310333321211012320
5130033040230110133
62334453121325000
7154341024644301
oct21647771450670
94303257715030
101225137738168
1143263a34a913
12179534196760
138b6b7518ba6
1443422cc77a8
1521d06a19413
hex11d3fe651b8

1225137738168 has 64 divisors (see below), whose sum is σ = 3486164320800. Its totient is φ = 398418773760.

The previous prime is 1225137738137. The next prime is 1225137738173. The reversal of 1225137738168 is 8618377315221.

1225137738168 is a `hidden beast` number, since 1 + 2 + 251 + 3 + 7 + 7 + 381 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69161071 + ... + 69178782.

Almost surely, 21225137738168 is an apocalyptic number.

1225137738168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1225137738168 is an abundant number, since it is smaller than the sum of its proper divisors (2261026582632).

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

1225137738168 is a wasteful number, since it uses less digits than its factorization.

1225137738168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138339909 (or 138339899 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 1225137738168 in words is "one trillion, two hundred twenty-five billion, one hundred thirty-seven million, seven hundred thirty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 138339853 276679706 415019559 553359412 830039118 1106718824 1245058677 1660078236 2490117354 3320156472 3735176031 4980234708 5671933973 7470352062 9960469416 11343867946 14940704124 17015801919 22687735892 29881408248 34031603838 45375471784 51047405757 68063207676 102094811514 136126415352 153142217271 204189623028 306284434542 408379246056 612568869084 1225137738168