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29012179320 = 23335155917231
BaseRepresentation
bin11011000001010000…
…101011100101111000
32202212220112102011000
4123001100223211320
5433404104214240
621154503405000
72044643312115
oct330120534570
982786472130
1029012179320
1111338689803
125758153760
132974830717
14159318b90c
15b4c051430
hex6c142b978

29012179320 has 128 divisors (see below), whose sum is σ = 96774912000. Its totient is φ = 7731169920.

The previous prime is 29012179309. The next prime is 29012179331. The reversal of 29012179320 is 2397121092.

It is an interprime number because it is at equal distance from previous prime (29012179309) and next prime (29012179331).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1675105 + ... + 1692335.

It is an arithmetic number, because the mean of its divisors is an integer number (756054000).

Almost surely, 229012179320 is an apocalyptic number.

29012179320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29012179320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48387456000).

29012179320 is an abundant number, since it is smaller than the sum of its proper divisors (67762732680).

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

29012179320 is a wasteful number, since it uses less digits than its factorization.

29012179320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18810 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 29012179320 in words is "twenty-nine billion, twelve million, one hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1559 3118 4677 6236 7795 9354 12472 14031 15590 17231 18708 23385 28062 31180 34462 37416 42093 46770 51693 56124 62360 68924 70155 84186 86155 93540 103386 112248 137848 140310 155079 168372 172310 187080 206772 210465 258465 280620 310158 336744 344620 413544 420930 465237 516930 561240 620316 689240 775395 841860 930474 1033860 1240632 1550790 1683720 1860948 2067720 2326185 3101580 3721896 4652370 6203160 9304740 18609480 26863129 53726258 80589387 107452516 134315645 161178774 214905032 241768161 268631290 322357548 402946935 483536322 537262580 644715096 725304483 805893870 967072644 1074525160 1208840805 1450608966 1611787740 1934145288 2417681610 2901217932 3223575480 3626522415 4835363220 5802435864 7253044830 9670726440 14506089660 29012179320