Search a number
-
+
24342858396 = 22382393881
BaseRepresentation
bin10110101010111100…
…101000101010011100
32022211111101100000000
4112222330220222130
5344323232432041
615103303534300
71521144611433
oct265274505234
968744340000
1024342858396
11a3619aa89a
12487445a390
1323ac351a2c
14126cda811a
15977168bb6
hex5aaf28a9c

24342858396 has 108 divisors (see below), whose sum is σ = 64180640160. Its totient is φ = 8078253120.

The previous prime is 24342858383. The next prime is 24342858401. The reversal of 24342858396 is 69385824342.

24342858396 is a `hidden beast` number, since 2 + 4 + 34 + 28 + 583 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6270376 + ... + 6274256.

Almost surely, 224342858396 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 24342858396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090320080).

24342858396 is an abundant number, since it is smaller than the sum of its proper divisors (39837781764).

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

24342858396 is an equidigital number, since it uses as much as digits as its factorization.

24342858396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4125 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 24342858396 in words is "twenty-four billion, three hundred forty-two million, eight hundred fifty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 239 243 324 478 486 717 729 956 972 1434 1458 2151 2187 2868 2916 3881 4302 4374 6453 6561 7762 8604 8748 11643 12906 13122 15524 19359 23286 25812 26244 34929 38718 46572 58077 69858 77436 104787 116154 139716 174231 209574 232308 314361 348462 419148 522693 628722 696924 927559 943083 1045386 1257444 1568079 1855118 1886166 2090772 2782677 2829249 3136158 3710236 3772332 5565354 5658498 6272316 8348031 8487747 11130708 11316996 16696062 16975494 25044093 25463241 33392124 33950988 50088186 50926482 75132279 100176372 101852964 150264558 225396837 300529116 450793674 676190511 901587348 1352381022 2028571533 2704762044 4057143066 6085714599 8114286132 12171429198 24342858396