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29381423032 = 23131314195147
BaseRepresentation
bin11011010111010001…
…001110111110111000
32210211122022221022001
4123113101032332320
5440133121014112
621255253510344
72060045655313
oct332721167670
983748287261
1029381423032
1111508057aa5
12583b9423b4
132a03193a20
1415ca22797a
15b6e68bc57
hex6d744efb8

29381423032 has 64 divisors (see below), whose sum is σ = 59935075200. Its totient is φ = 13422414720.

The previous prime is 29381423023. The next prime is 29381423033. The reversal of 29381423032 is 23032418392.

It is a junction number, because it is equal to n+sod(n) for n = 29381422982 and 29381423000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29381423033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5705883 + ... + 5711029.

It is an arithmetic number, because the mean of its divisors is an integer number (936485550).

Almost surely, 229381423032 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 29381423032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29967537600).

29381423032 is an abundant number, since it is smaller than the sum of its proper divisors (30553652168).

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

29381423032 is a wasteful number, since it uses less digits than its factorization.

29381423032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 29381423032 in words is "twenty-nine billion, three hundred eighty-one million, four hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 131 262 419 524 838 1048 1676 1703 3352 3406 5147 5447 6812 10294 10894 13624 20588 21788 41176 43576 54889 66911 109778 133822 219556 267644 439112 535288 674257 713557 1348514 1427114 2156593 2697028 2854228 4313186 5394056 5708456 8626372 8765341 17252744 17530682 28035709 35061364 56071418 70122728 112142836 224285672 282513683 565027366 1130054732 2260109464 3672677879 7345355758 14690711516 29381423032