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29319424875 = 3353131935171
BaseRepresentation
bin11011010011100100…
…101110101101101011
32210200022200002211000
4123103210232231223
5440021233044000
621245201010043
72055363666546
oct332344565553
983608602730
1029319424875
1111486061954
125823023923
1329c3397420
1415c1cc985d
15b68ee2000
hex6d392eb6b

29319424875 has 128 divisors (see below), whose sum is σ = 61452518400. Its totient is φ = 13674096000.

The previous prime is 29319424829. The next prime is 29319424877. The reversal of 29319424875 is 57842491392.

It is not a de Polignac number, because 29319424875 - 26 = 29319424811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29319424877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 816040 + ... + 851210.

It is an arithmetic number, because the mean of its divisors is an integer number (480097800).

Almost surely, 229319424875 is an apocalyptic number.

29319424875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29319424875 is an abundant number, since it is smaller than the sum of its proper divisors (32133093525).

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

29319424875 is a wasteful number, since it uses less digits than its factorization.

29319424875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35227 (or 35211 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 29319424875 in words is "twenty-nine billion, three hundred nineteen million, four hundred twenty-four thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 13 15 19 25 27 39 45 57 65 75 95 117 125 135 171 195 225 247 285 325 351 375 475 513 585 675 741 855 975 1125 1235 1425 1625 1755 2223 2375 2565 2925 3375 3705 4275 4875 6175 6669 7125 8775 11115 12825 14625 18525 21375 30875 33345 35171 43875 55575 64125 92625 105513 166725 175855 277875 316539 457223 527565 668249 833625 879275 949617 1371669 1582695 2004747 2286115 2637825 3341245 4115007 4396375 4748085 6014241 6858345 7913475 8687237 10023735 11430575 12345021 13189125 16706225 18042723 20575035 23740425 26061711 30071205 34291725 39567375 43436185 50118675 57152875 61725105 78185133 83531125 90213615 102875175 118702125 130308555 150356025 171458625 217180925 234555399 250593375 308625525 390925665 451068075 514375875 651542775 751780125 1085904625 1172776995 1543127625 1954628325 2255340375 3257713875 5863884975 9773141625 29319424875