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1107787136740 = 225177334445017
BaseRepresentation
bin10000000111101101010…
…000100011111011100100
310220220101120221022010121
4100013231100203323210
5121122222001333430
62204524350531324
7143014666204054
oct20075520437344
93826346838117
101107787136740
1139789aa60099
1215a843806b44
13806051ac1ab
143b88d7a1564
151dc39450a7a
hex101ed423ee4

1107787136740 has 48 divisors (see below), whose sum is σ = 2466558268272. Its totient is φ = 416480219136.

The previous prime is 1107787136711. The next prime is 1107787136741. The reversal of 1107787136740 is 476317877011.

It can be written as a sum of positive squares in 8 ways, for example, as 165598535844 + 942188600896 = 406938^2 + 970664^2 .

It is not an unprimeable number, because it can be changed into a prime (1107787136741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973289 + ... + 2471728.

It is an arithmetic number, because the mean of its divisors is an integer number (51386630589).

Almost surely, 21107787136740 is an apocalyptic number.

1107787136740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1107787136740 is an abundant number, since it is smaller than the sum of its proper divisors (1358771131532).

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

1107787136740 is a wasteful number, since it uses less digits than its factorization.

1107787136740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445776 (or 4445774 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 52.

The spelling of 1107787136740 in words is "one trillion, one hundred seven billion, seven hundred eighty-seven million, one hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 733 1466 2932 3665 7330 12461 14660 24922 49844 62305 124610 249220 4445017 8890034 17780068 22225085 44450170 75565289 88900340 151130578 302261156 377826445 755652890 1511305780 3258197461 6516394922 13032789844 16290987305 32581974610 55389356837 65163949220 110778713674 221557427348 276946784185 553893568370 1107787136740