Search a number
-
+
152793209744 = 24711149122363
BaseRepresentation
bin1000111001001100101…
…1110101101110010000
3112121101102101021022022
42032103023311232100
510000410030202434
6154105304431012
714016233565620
oct2162313655620
9477342337268
10152793209744
1159887868a5a
1225742178468
131154016caa6
147576728880
153e93e2722e
hex23932f5b90

152793209744 has 40 divisors (see below), whose sum is σ = 338360932800. Its totient is φ = 65476395648.

The previous prime is 152793209729. The next prime is 152793209749. The reversal of 152793209744 is 447902397251.

152793209744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152793209749) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1187507 + ... + 1309869.

It is an arithmetic number, because the mean of its divisors is an integer number (8459023320).

Almost surely, 2152793209744 is an apocalyptic number.

152793209744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152793209744 is an abundant number, since it is smaller than the sum of its proper divisors (185567723056).

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

152793209744 is a wasteful number, since it uses less digits than its factorization.

152793209744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133527 (or 133521 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 152793209744 in words is "one hundred fifty-two billion, seven hundred ninety-three million, two hundred nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 11149 22298 44596 78043 89192 122363 156086 178384 244726 312172 489452 624344 856541 978904 1248688 1713082 1957808 3426164 6852328 13704656 1364225087 2728450174 5456900348 9549575609 10913800696 19099151218 21827601392 38198302436 76396604872 152793209744