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29896281120 = 2535193278101
BaseRepresentation
bin11011110101111101…
…010000110000100000
32212011112010102211010
4123311331100300200
5442211421443440
621422325020520
72105600124306
oct336575206040
985145112733
1029896281120
1111751742552
125964254740
132a85a4b994
14163876a276
15b9e98c580
hex6f5f50c20

29896281120 has 96 divisors (see below), whose sum is σ = 99129804480. Its totient is φ = 7552742400.

The previous prime is 29896281059. The next prime is 29896281127. The reversal of 29896281120 is 2118269892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29896281120.

It is not an unprimeable number, because it can be changed into a prime (29896281127) 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 15 ways as a sum of consecutive naturals, for example, 1629931 + ... + 1648170.

It is an arithmetic number, because the mean of its divisors is an integer number (1032602130).

Almost surely, 229896281120 is an apocalyptic number.

29896281120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29896281120 is an abundant number, since it is smaller than the sum of its proper divisors (69233523360).

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

29896281120 is a wasteful number, since it uses less digits than its factorization.

29896281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278138 (or 3278130 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 29896281120 in words is "twenty-nine billion, eight hundred ninety-six million, two hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 3278101 6556202 9834303 13112404 16390505 19668606 26224808 32781010 39337212 49171515 52449616 62283919 65562020 78674424 98343030 104899232 124567838 131124040 157348848 186851757 196686060 249135676 262248080 311419595 314697696 373703514 393372120 498271352 524496160 622839190 747407028 786744240 934258785 996542704 1245678380 1494814056 1573488480 1868517570 1993085408 2491356760 2989628112 3737035140 4982713520 5979256224 7474070280 9965427040 14948140560 29896281120