Search a number
-
+
1105405528932 = 223343283841091
BaseRepresentation
bin10000000101011111010…
…011011100101101100100
310220200020121112002102000
4100011133103130231210
5121102332303411212
62203452152445300
7142601656652055
oct20053723345544
93820217462360
101105405528932
1139688866a981
1215a29a0a9830
1380315962bc3
143b70536c72c
151db4a30e1dc
hex1015f4dcb64

1105405528932 has 96 divisors (see below), whose sum is σ = 2942879976960. Its totient is φ = 358627318560.

The previous prime is 1105405528921. The next prime is 1105405528937. The reversal of 1105405528932 is 2398255045011.

1105405528932 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 4 + 0 + 552 + 8 + 93 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1105405528937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893707 + ... + 1734797.

It is an arithmetic number, because the mean of its divisors is an integer number (30654999760).

Almost surely, 21105405528932 is an apocalyptic number.

1105405528932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105405528932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471439988480).

1105405528932 is an abundant number, since it is smaller than the sum of its proper divisors (1837474448028).

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

1105405528932 is a wasteful number, since it uses less digits than its factorization.

1105405528932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841430 (or 841422 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1105405528932 in words is "one trillion, one hundred five billion, four hundred five million, five hundred twenty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 283 387 516 566 774 849 1132 1161 1548 1698 2322 2547 3396 4644 5094 7641 10188 12169 15282 24338 30564 36507 48676 73014 109521 146028 219042 328563 438084 657126 841091 1314252 1682182 2523273 3364364 5046546 7569819 10093092 15139638 22709457 30279276 36166913 45418914 72333826 90837828 108500739 144667652 217001478 238028753 325502217 434002956 476057506 651004434 714086259 952115012 976506651 1302008868 1428172518 1953013302 2142258777 2856345036 3906026604 4284517554 6426776331 8569035108 10235236379 12853552662 20470472758 25707105324 30705709137 40940945516 61411418274 92117127411 122822836548 184234254822 276351382233 368468509644 552702764466 1105405528932