Search a number
-
+
132426221533515 = 325713231406022419
BaseRepresentation
bin11110000111000011100001…
…111001001011100101001011
3122100212211020001212102111200
4132013003201321023211023
5114324132400203033030
61145351433305355243
736615323135364240
oct3607034171134513
9570784201772450
10132426221533515
1139216710790668
1212a29109798b23
1358b797ba849a0
14249b66b4d15c7
151049a9aed2d60
hex7870e1e4b94b

132426221533515 has 96 divisors (see below), whose sum is σ = 294792284666880. Its totient is φ = 53451348242688.

The previous prime is 132426221533511. The next prime is 132426221533559. The reversal of 132426221533515 is 515335122624231.

132426221533515 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 62 + 2 + 1 + 533 + 51 + 5 = 666.

132426221533515 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132426221533515 - 22 = 132426221533511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132426221533511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702917025 + ... + 703105394.

It is an arithmetic number, because the mean of its divisors is an integer number (3070752965280).

Almost surely, 2132426221533515 is an apocalyptic number.

132426221533515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132426221533515 is an abundant number, since it is smaller than the sum of its proper divisors (162366063133365).

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

132426221533515 is a wasteful number, since it uses less digits than its factorization.

132426221533515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406022473 (or 1406022470 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 132426221533515 in words is "one hundred thirty-two trillion, four hundred twenty-six billion, two hundred twenty-one million, five hundred thirty-three thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 23 35 39 45 63 65 69 91 105 115 117 161 195 207 273 299 315 345 455 483 585 805 819 897 1035 1365 1449 1495 2093 2415 2691 4095 4485 6279 7245 10465 13455 18837 31395 94185 1406022419 4218067257 7030112095 9842156933 12654201771 18278291447 21090336285 29526470799 32338515637 49210784665 54834874341 63271008855 88579412397 91391457235 97015546911 127948040129 147632353995 161692578185 164504623023 226369609459 274174371705 291046640733 383844120387 420400703281 442897061985 485077734555 639740200645 679108828377 822523115115 1131848047295 1151532361161 1261202109843 1455233203665 1919220601935 2037326485131 2102003516405 2942804922967 3395544141885 3783606329529 5757661805805 6306010549215 8828414768901 10186632425655 14714024614835 18918031647645 26485244306703 44142073844505 132426221533515