Search a number
-
+
135446471004 = 223132393632831
BaseRepresentation
bin111111000100100111…
…1010010000101011100
3110221121111102122021010
41332021033102011130
54204343244033004
6142120115535220
712533330002365
oct1761117220534
9427544378233
10135446471004
1152496002439
12223008ba510
13ca07395a40
1467ac98ab6c
1537cb0aca89
hex1f893d215c

135446471004 has 48 divisors (see below), whose sum is σ = 341776834560. Its totient is φ = 41501449920.

The previous prime is 135446470997. The next prime is 135446471051. The reversal of 135446471004 is 400174644531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779132 + ... + 1853699.

It is an arithmetic number, because the mean of its divisors is an integer number (7120350720).

Almost surely, 2135446471004 is an apocalyptic number.

It is an amenable number.

135446471004 is an abundant number, since it is smaller than the sum of its proper divisors (206330363556).

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

135446471004 is a wasteful number, since it uses less digits than its factorization.

135446471004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633090 (or 3633088 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 135446471004 in words is "one hundred thirty-five billion, four hundred forty-six million, four hundred seventy-one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 2868 3107 6214 9321 12428 18642 37284 3632831 7265662 10898493 14531324 21796986 43593972 47226803 94453606 141680409 188907212 283360818 566721636 868246609 1736493218 2604739827 3472986436 5209479654 10418959308 11287205917 22574411834 33861617751 45148823668 67723235502 135446471004