Search a number
-
+
152205959532 = 223112199526759
BaseRepresentation
bin1000110111000000101…
…1101010000101101100
3112112212111100212110110
42031300023222011230
54443204211201112
6153531125540020
713665543211104
oct2156013520554
9475774325413
10152205959532
1159606329200
12255b9574610
13114785b9563
14751c740204
153e5c5c713c
hex23702ea16c

152205959532 has 72 divisors (see below), whose sum is σ = 392330848000. Its totient is φ = 45891156960.

The previous prime is 152205959501. The next prime is 152205959533. The reversal of 152205959532 is 235959502251.

It is not an unprimeable number, because it can be changed into a prime (152205959533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25569 + ... + 552327.

Almost surely, 2152205959532 is an apocalyptic number.

152205959532 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 152205959532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196165424000).

152205959532 is an abundant number, since it is smaller than the sum of its proper divisors (240124888468).

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

152205959532 is a wasteful number, since it uses less digits than its factorization.

152205959532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526987 (or 526974 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 48.

The spelling of 152205959532 in words is "one hundred fifty-two billion, two hundred five million, nine hundred fifty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 199 242 363 398 484 597 726 796 1194 1452 2189 2388 4378 6567 8756 13134 24079 26268 48158 72237 96316 144474 288948 526759 1053518 1580277 2107036 3160554 5794349 6321108 11588698 17383047 23177396 34766094 63737839 69532188 104825041 127475678 191213517 209650082 254951356 314475123 382427034 419300164 628950246 764854068 1153075451 1257900492 2306150902 3459226353 4612301804 6918452706 12683829961 13836905412 25367659922 38051489883 50735319844 76102979766 152205959532