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24234157092 = 22323263563593
BaseRepresentation
bin10110100100011101…
…111110010000100100
32022112220211201211210
4112210131332100210
5344112421011332
615044422031420
71515354636135
oct264435762044
968486751753
1024234157092
11a306605a02
124843b78570
132392982832
14125c78dc8c
1596c845ecc
hex5a477e424

24234157092 has 96 divisors (see below), whose sum is σ = 59434518528. Its totient is φ = 7670823424.

The previous prime is 24234157019. The next prime is 24234157099. The reversal of 24234157092 is 29075143242.

It is a self number, because there is not a number n which added to its sum of digits gives 24234157092.

It is not an unprimeable number, because it can be changed into a prime (24234157099) 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 31 ways as a sum of consecutive naturals, for example, 40866748 + ... + 40867340.

It is an arithmetic number, because the mean of its divisors is an integer number (619109568).

Almost surely, 224234157092 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 24234157092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29717259264).

24234157092 is an abundant number, since it is smaller than the sum of its proper divisors (35200361436).

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

24234157092 is a wasteful number, since it uses less digits than its factorization.

24234157092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 24234157092 in words is "twenty-four billion, two hundred thirty-four million, one hundred fifty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 263 276 526 563 593 789 1052 1126 1186 1578 1689 1779 2252 2372 3156 3378 3558 6049 6756 7116 12098 12949 13639 18147 24196 25898 27278 36294 38847 40917 51796 54556 72588 77694 81834 148069 155388 155959 163668 296138 311918 333859 444207 467877 592276 623836 667718 888414 935754 1001577 1335436 1776828 1871508 2003154 3405587 3587057 4006308 6811174 7174114 7678757 10216761 10761171 13622348 14348228 15357514 20433522 21522342 23036271 30715028 40867044 43044684 46072542 87804917 92145084 175609834 263414751 351219668 526829502 1053659004 2019513091 4039026182 6058539273 8078052364 12117078546 24234157092