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29198050000 = 2455783423
BaseRepresentation
bin11011001100010101…
…101110001011010000
32210100212021121210021
4123030111232023100
5434244200100000
621225143313224
72052361221130
oct331425561320
983325247707
1029198050000
11114235a1139
1257aa44b814
1329a41ab782
1415adb32ac0
15b5d51911a
hex6cc56e2d0

29198050000 has 120 divisors (see below), whose sum is σ = 80811827712. Its totient is φ = 10010640000.

The previous prime is 29198049973. The next prime is 29198050003. The reversal of 29198050000 is 5089192.

It is a super-2 number, since 2×291980500002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29198050003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308289 + ... + 391711.

Almost surely, 229198050000 is an apocalyptic number.

29198050000 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 29198050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40405913856).

29198050000 is an abundant number, since it is smaller than the sum of its proper divisors (51613777712).

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

29198050000 is an frugal number, since it uses more digits than its factorization.

29198050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83463 (or 83437 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 29198050000 in words is "twenty-nine billion, one hundred ninety-eight million, fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3125 3500 4375 5000 6250 7000 8750 10000 12500 14000 17500 21875 25000 35000 43750 50000 70000 83423 87500 166846 175000 333692 350000 417115 583961 667384 834230 1167922 1334768 1668460 2085575 2335844 2919805 3336920 4171150 4671688 5839610 6673840 8342300 9343376 10427875 11679220 14599025 16684600 20855750 23358440 29198050 33369200 41711500 46716880 52139375 58396100 72995125 83423000 104278750 116792200 145990250 166846000 208557500 233584400 260696875 291980500 364975625 417115000 521393750 583961000 729951250 834230000 1042787500 1167922000 1459902500 1824878125 2085575000 2919805000 3649756250 4171150000 5839610000 7299512500 14599025000 29198050000