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29343756390 = 2351391182591
BaseRepresentation
bin11011010101000001…
…100011000001100110
32210202000110021101020
4123111001203001212
5440044000201030
621251430312010
72056110546114
oct332501430146
983660407336
1029343756390
1111498870543
12582b1b8606
1329c8436280
1415c5220ab4
15b6b1eb510
hex6d5063066

29343756390 has 64 divisors (see below), whose sum is σ = 75926495232. Its totient is φ = 7215062400.

The previous prime is 29343756383. The next prime is 29343756443. The reversal of 29343756390 is 9365734392.

It is a happy number.

It is a super-2 number, since 2×293437563902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313995 + ... + 396585.

It is an arithmetic number, because the mean of its divisors is an integer number (1186351488).

Almost surely, 229343756390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29343756390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37963247616).

29343756390 is an abundant number, since it is smaller than the sum of its proper divisors (46582738842).

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

29343756390 is a wasteful number, since it uses less digits than its factorization.

29343756390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83525.

The product of its (nonzero) digits is 3674160, while the sum is 51.

The spelling of 29343756390 in words is "twenty-nine billion, three hundred forty-three million, seven hundred fifty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 911 1822 2733 4555 5466 9110 11843 13665 23686 27330 35529 59215 71058 82591 118430 165182 177645 247773 355290 412955 495546 825910 1073683 1238865 2147366 2477730 3221049 5368415 6442098 10736830 16105245 32210490 75240401 150480802 225721203 376202005 451442406 752404010 978125213 1128606015 1956250426 2257212030 2934375639 4890626065 5868751278 9781252130 14671878195 29343756390