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29995000208 = 24291274311181
BaseRepresentation
bin11011111011110101…
…110110000110010000
32212102101212212221122
4123323311312012100
5442412210001313
621440212541412
72111206203125
oct337365660620
985371785848
1029995000208
11117a2439678
125991321868
132aa0334444
14164790674c
15ba848c708
hex6fbd76190

29995000208 has 80 divisors (see below), whose sum is σ = 60784680960. Its totient is φ = 14320857600.

The previous prime is 29995000201. The next prime is 29995000219. The reversal of 29995000208 is 80200059992.

It is a super-3 number, since 3×299950002083 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (29995000201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25397378 + ... + 25398558.

It is an arithmetic number, because the mean of its divisors is an integer number (759808512).

Almost surely, 229995000208 is an apocalyptic number.

29995000208 is the 99992-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29995000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30392340480).

29995000208 is an abundant number, since it is smaller than the sum of its proper divisors (30789680752).

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

29995000208 is a wasteful number, since it uses less digits than its factorization.

29995000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 29995000208 in words is "twenty-nine billion, nine hundred ninety-five million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 58 116 127 232 254 431 464 508 862 1016 1181 1724 2032 2362 3448 3683 4724 6896 7366 9448 12499 14732 18896 24998 29464 34249 49996 54737 58928 68498 99992 109474 136996 149987 199984 218948 273992 299974 437896 509011 547984 599948 875792 1018022 1199896 1587373 2036044 2399792 3174746 4072088 4349623 6349492 8144176 8699246 12698984 14761319 17398492 25397968 29522638 34796984 59045276 64644397 69593968 118090552 129288794 236181104 258577588 517155176 1034310352 1874687513 3749375026 7498750052 14997500104 29995000208