Search a number
-
+
105470540487 = 321341128317137
BaseRepresentation
bin110001000111010001…
…0001011101011000111
3101002020102102121000100
41202032202023223013
53212000424243422
6120241423415143
710422441542064
oct1421642135307
9332212377010
10105470540487
1140803409144
1218535a544b3
139c3acaa450
145167809c6b
152b2463a7ac
hex188e88bac7

105470540487 has 48 divisors (see below), whose sum is σ = 168207687648. Its totient is φ = 63268853760.

The previous prime is 105470540459. The next prime is 105470540509. The reversal of 105470540487 is 784045074501.

105470540487 is a `hidden beast` number, since 1 + 0 + 54 + 70 + 54 + 0 + 487 = 666.

It is not a de Polignac number, because 105470540487 - 27 = 105470540359 is a prime.

It is a super-2 number, since 2×1054705404872 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105470540437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6145983 + ... + 6163119.

It is an arithmetic number, because the mean of its divisors is an integer number (3504326826).

Almost surely, 2105470540487 is an apocalyptic number.

105470540487 is a deficient number, since it is larger than the sum of its proper divisors (62737147161).

105470540487 is a wasteful number, since it uses less digits than its factorization.

105470540487 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18480 (or 18477 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 105470540487 in words is "one hundred five billion, four hundred seventy million, five hundred forty thousand, four hundred eighty-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 1283 1599 3849 4797 11547 16679 17137 50037 51411 52603 150111 154233 157809 222781 473427 668343 683839 702617 2005029 2051517 2107851 6154551 6323553 9134021 21986771 27402063 65960313 82206189 197880939 285828023 857484069 901457611 2572452207 2704372833 8113118499 11718948943 35156846829 105470540487