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29849976420 = 223511210214027
BaseRepresentation
bin11011110011001100…
…100111111001100100
32212001021222220201020
4123303030213321210
5442113043221140
621413552331140
72104465420215
oct336314477144
985037886636
1029849976420
1111728596100
125950843ab0
132a79288554
14163255540c
15b9a8926d0
hex6f3327e64

29849976420 has 144 divisors (see below), whose sum is σ = 91981667904. Its totient is φ = 7227475200.

The previous prime is 29849976419. The next prime is 29849976427. The reversal of 29849976420 is 2467994892.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (29849976427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7410447 + ... + 7414473.

Almost surely, 229849976420 is an apocalyptic number.

29849976420 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 29849976420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45990833952).

29849976420 is an abundant number, since it is smaller than the sum of its proper divisors (62131691484).

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

29849976420 is a wasteful number, since it uses less digits than its factorization.

29849976420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 29849976420 in words is "twenty-nine billion, eight hundred forty-nine million, nine hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1021 1210 1452 1815 2042 2420 3063 3630 4027 4084 5105 6126 7260 8054 10210 11231 12081 12252 15315 16108 20135 20420 22462 24162 30630 33693 40270 44297 44924 48324 56155 60405 61260 67386 80540 88594 112310 120810 123541 132891 134772 168465 177188 221485 224620 241620 247082 265782 336930 370623 442970 487267 494164 531564 617705 664455 673860 741246 885940 974534 1235410 1328910 1461801 1482492 1853115 1949068 2436335 2470820 2657820 2923602 3706230 4111567 4872670 5847204 7309005 7412460 8223134 9745340 12334701 14618010 16446268 20557835 24669402 29236020 41115670 45227237 49338804 61673505 82231340 90454474 123347010 135681711 180908948 226136185 246694020 271363422 452272370 497499607 542726844 678408555 904544740 994999214 1356817110 1492498821 1989998428 2487498035 2713634220 2984997642 4974996070 5969995284 7462494105 9949992140 14924988210 29849976420