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29423838492 = 2233537017333
BaseRepresentation
bin11011011001110011…
…000010010100011100
32210221121010212101000
4123121303002110130
5440230000312432
621303410550300
72061102333456
oct333163022434
983847125330
1029423838492
1111529a983a4
125851b98390
132a0bbc4b29
1415d1b092d6
15b7326957c
hex6d9cc251c

29423838492 has 96 divisors (see below), whose sum is σ = 77844836160. Its totient is φ = 9607852800.

The previous prime is 29423838473. The next prime is 29423838497. The reversal of 29423838492 is 29483832492.

29423838492 is a `hidden beast` number, since 2 + 94 + 2 + 38 + 38 + 492 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29423838497) 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, 4008858 + ... + 4016190.

It is an arithmetic number, because the mean of its divisors is an integer number (810883710).

Almost surely, 229423838492 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 29423838492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38922418080).

29423838492 is an abundant number, since it is smaller than the sum of its proper divisors (48420997668).

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

29423838492 is a wasteful number, since it uses less digits than its factorization.

29423838492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8092 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 29423838492 in words is "twenty-nine billion, four hundred twenty-three million, eight hundred thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 701 954 1402 1431 1908 2103 2804 2862 4206 5724 6309 7333 8412 12618 14666 18927 21999 25236 29332 37153 37854 43998 65997 74306 75708 87996 111459 131994 148612 197991 222918 263988 334377 388649 395982 445836 668754 777298 791964 1003131 1165947 1337508 1554596 2006262 2331894 3497841 4012524 4663788 5140433 6995682 10280866 10493523 13991364 15421299 20561732 20987046 30842598 41974092 46263897 61685196 92527794 138791691 185055588 272442949 277583382 544885898 555166764 817328847 1089771796 1634657694 2451986541 3269315388 4903973082 7355959623 9807946164 14711919246 29423838492