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29385498352 = 2472411098387
BaseRepresentation
bin11011010111100000…
…110001111011110000
32210211220222222120211
4123113200301323300
5440140141421402
621255521113504
72060125420600
oct332740617360
983756888524
1029385498352
111150a390931
125841188894
132a03c8c962
1415ca9a8c00
15b6ebe44d7
hex6d7831ef0

29385498352 has 120 divisors (see below), whose sum is σ = 68475773520. Its totient is φ = 12172446720.

The previous prime is 29385498323. The next prime is 29385498377. The reversal of 29385498352 is 25389458392.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3499503 + ... + 3507889.

It is an arithmetic number, because the mean of its divisors is an integer number (570631446).

Almost surely, 229385498352 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 29385498352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34237886760).

29385498352 is an abundant number, since it is smaller than the sum of its proper divisors (39090275168).

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

29385498352 is a wasteful number, since it uses less digits than its factorization.

29385498352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559 (or 8546 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 29385498352 in words is "twenty-nine billion, three hundred eighty-five million, four hundred ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 109 112 164 196 218 287 328 392 436 574 656 763 784 872 1148 1526 1744 2009 2296 3052 4018 4469 4592 5341 6104 8036 8387 8938 10682 12208 16072 16774 17876 21364 31283 32144 33548 35752 42728 58709 62566 67096 71504 85456 117418 125132 134192 218981 234836 250264 343867 410963 437962 469672 500528 687734 821926 875924 914183 939344 1375468 1643852 1751848 1828366 2407069 2750936 3287704 3503696 3656732 4814138 5501872 6399281 6575408 7313464 9628276 12798562 14626928 16849483 19256552 25597124 33698966 37481503 38513104 44794967 51194248 67397932 74963006 89589934 102388496 134795864 149926012 179179868 262370521 269591728 299852024 358359736 524741042 599704048 716719472 1049482084 1836593647 2098964168 3673187294 4197928336 7346374588 14692749176 29385498352