Search a number
-
+
1101148041664 = 26116732324117
BaseRepresentation
bin10000000001100001100…
…010011011000111000000
310220021020220022022211101
4100001201202123013000
5121020122344313124
62201505504024144
7142361321630536
oct20014142330700
93807226268741
101101148041664
11394aa33a9760
121594b0302054
137cab78a9b78
143b41db50156
151d99b676644
hex1006189b1c0

1101148041664 has 56 divisors (see below), whose sum is σ = 2387278230768. Its totient is φ = 499777904640.

The previous prime is 1101148041661. The next prime is 1101148041703. The reversal of 1101148041664 is 4661408411011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101148041661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688267 + ... + 1635850.

Almost surely, 21101148041664 is an apocalyptic number.

It is an amenable number.

1101148041664 is an abundant number, since it is smaller than the sum of its proper divisors (1286130189104).

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

1101148041664 is a wasteful number, since it uses less digits than its factorization.

1101148041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324813 (or 2324803 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 1101148041664 in words is "one trillion, one hundred one billion, one hundred forty-eight million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 673 704 1346 2692 5384 7403 10768 14806 21536 29612 43072 59224 118448 236896 473792 2324117 4648234 9296468 18592936 25565287 37185872 51130574 74371744 102261148 148743488 204522296 409044592 818089184 1564130741 1636178368 3128261482 6256522964 12513045928 17205438151 25026091856 34410876302 50052183712 68821752604 100104367424 137643505208 275287010416 550574020832 1101148041664