Search a number
-
+
146369585076 = 2231113211404251
BaseRepresentation
bin1000100001010001001…
…1101001111110110100
3111222210202012022211120
42020110103221332310
54344231103210301
6151124040103540
713401113642121
oct2102423517664
9458722168746
10146369585076
11570908a6740
122444aa64bb0
1310a583b0550
147127565748
153c1a010e36
hex22144e9fb4

146369585076 has 96 divisors (see below), whose sum is σ = 403139498496. Its totient is φ = 40748400000.

The previous prime is 146369585071. The next prime is 146369585083. The reversal of 146369585076 is 670585963641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146369585071) 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, 159951 + ... + 564201.

It is an arithmetic number, because the mean of its divisors is an integer number (4199369776).

Almost surely, 2146369585076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146369585076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201569749248).

146369585076 is an abundant number, since it is smaller than the sum of its proper divisors (256769913420).

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

146369585076 is a wasteful number, since it uses less digits than its factorization.

146369585076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404493 (or 404491 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

It can be divided in two parts, 146369 and 585076, that added together give a triangular number (731445 = T1209).

The spelling of 146369585076 in words is "one hundred forty-six billion, three hundred sixty-nine million, five hundred eighty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 211 286 422 429 572 633 844 858 1266 1716 2321 2532 2743 4642 5486 6963 8229 9284 10972 13926 16458 27852 30173 32916 60346 90519 120692 181038 362076 404251 808502 1212753 1617004 2425506 4446761 4851012 5255263 8893522 10510526 13340283 15765789 17787044 21021052 26680566 31531578 53361132 57807893 63063156 85296961 115615786 170593922 173423679 231231572 255890883 341187844 346847358 511781766 693694716 938266571 1023563532 1108860493 1876533142 2217720986 2814799713 3326581479 3753066284 4435441972 5629599426 6653162958 11259198852 12197465423 13306325916 24394930846 36592396269 48789861692 73184792538 146369585076