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1101993968 = 242914231669
BaseRepresentation
bin100000110101111…
…0001011111110000
32211210121002112102
41001223301133300
54224102301333
6301203315532
736210536255
oct10153613760
92753532472
101101993968
11516057419
1226907bba8
131473cb44a
14a64db42c
1566b2bae8
hex41af17f0

1101993968 has 40 divisors (see below), whose sum is σ = 2211614400. Its totient is φ = 531304704.

The previous prime is 1101993961. The next prime is 1101994021. The reversal of 1101993968 is 8693991011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101993961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659438 + ... + 661106.

It is an arithmetic number, because the mean of its divisors is an integer number (55290360).

Almost surely, 21101993968 is an apocalyptic number.

It is an amenable number.

1101993968 is an abundant number, since it is smaller than the sum of its proper divisors (1109620432).

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

1101993968 is a wasteful number, since it uses less digits than its factorization.

1101993968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 47.

The square root of 1101993968 is about 33196.2944920062. The cubic root of 1101993968 is about 1032.9034763824.

The spelling of 1101993968 in words is "one billion, one hundred one million, nine hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 1423 1669 2846 3338 5692 6676 11384 13352 22768 26704 41267 48401 82534 96802 165068 193604 330136 387208 660272 774416 2374987 4749974 9499948 18999896 37999792 68874623 137749246 275498492 550996984 1101993968