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29400009990 = 23513439171719
BaseRepresentation
bin11011011000011000…
…001000110100000110
32210212221022020210220
4123120120020310012
5440202400304430
621301200125210
72060362650561
oct333030106406
983787266726
1029400009990
11115175a271a
125846006806
132a06ca0c20
1415cc8a54d8
15b7110e110
hex6d8608d06

29400009990 has 64 divisors (see below), whose sum is σ = 76161254400. Its totient is φ = 7220398464.

The previous prime is 29400009979. The next prime is 29400010007. The reversal of 29400009990 is 9990000492.

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, 85351 + ... + 257069.

It is an arithmetic number, because the mean of its divisors is an integer number (1190019600).

Almost surely, 229400009990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29400009990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080627200).

29400009990 is an abundant number, since it is smaller than the sum of its proper divisors (46761244410).

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

29400009990 is a wasteful number, since it uses less digits than its factorization.

29400009990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172181.

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 29400009990 in words is "twenty-nine billion, four hundred million, nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 439 878 1317 2195 2634 4390 5707 6585 11414 13170 17121 28535 34242 57070 85605 171210 171719 343438 515157 858595 1030314 1717190 2232347 2575785 4464694 5151570 6697041 11161735 13394082 22323470 33485205 66970410 75384641 150769282 226153923 376923205 452307846 753846410 980000333 1130769615 1960000666 2261539230 2940000999 4900001665 5880001998 9800003330 14700004995 29400009990