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1107501559641 = 36389772
BaseRepresentation
bin10000000111011100001…
…111001010111101011001
310220212122200120111000000
4100013130033022331121
5121121130344402031
62204440150003213
7143004630634551
oct20073417127531
93825580514000
101107501559641
11397763837864
1215a784046509
138058ac91169
143b8638a4161
151dc1e3403e6
hex101dc3caf59

1107501559641 has 21 divisors (see below), whose sum is σ = 1660535339151. Its totient is φ = 738315430272.

The previous prime is 1107501559631. The next prime is 1107501559657. The reversal of 1107501559641 is 1469551057011.

The square root of 1107501559641 is 1052379.

It is a perfect power (a square), and thus also a powerful number.

1107501559641 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 5 + 0 + 15 + 596 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68520915225 + 1038980644416 = 261765^2 + 1019304^2 .

It is not a de Polignac number, because 1107501559641 - 211 = 1107501557593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1107501559631) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 28394745 + ... + 28433721.

Almost surely, 21107501559641 is an apocalyptic number.

1107501559641 is the 1052379-th square number.

1107501559641 is the 526190-th centered octagonal number.

It is an amenable number.

1107501559641 is a deficient number, since it is larger than the sum of its proper divisors (553033779510).

1107501559641 is an frugal number, since it uses more digits than its factorization.

1107501559641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77972 (or 38980 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 1107501559641 in words is "one trillion, one hundred seven billion, five hundred one million, five hundred fifty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 243 729 38977 116931 350793 1052379 3157137 9471411 28414233 1519206529 4557619587 13672858761 41018576283 123055728849 369167186547 1107501559641