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29971286076 = 223176719711131
BaseRepresentation
bin11011111010011011…
…011000100000111100
32212100202021002021110
4123322123120200330
5442340122123301
621434004402020
72110500504534
oct337233304074
985322232243
1029971286076
1111790011916
1259853a6310
132a98450604
1416446d24c4
15ba63560d6
hex6fa6d883c

29971286076 has 96 divisors (see below), whose sum is σ = 75540148992. Its totient is φ = 9214571520.

The previous prime is 29971286011. The next prime is 29971286077. The reversal of 29971286076 is 67068217992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29971286077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687031 + ... + 2698161.

It is an arithmetic number, because the mean of its divisors is an integer number (786876552).

Almost surely, 229971286076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29971286076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37770074496).

29971286076 is an abundant number, since it is smaller than the sum of its proper divisors (45568862916).

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

29971286076 is a wasteful number, since it uses less digits than its factorization.

29971286076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11419 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 29971286076 in words is "twenty-nine billion, nine hundred seventy-one million, two hundred eighty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 197 201 204 268 394 402 591 788 804 1139 1182 2278 2364 3349 3417 4556 6698 6834 10047 11131 13199 13396 13668 20094 22262 26398 33393 39597 40188 44524 52796 66786 79194 133572 158388 189227 224383 378454 448766 567681 673149 745777 756908 897532 1135362 1346298 1491554 2192807 2237331 2270724 2692596 2983108 4385614 4474662 6578421 8771228 8949324 12678209 13156842 25356418 26313684 37277719 38034627 50712836 74555438 76069254 111833157 146918069 149110876 152138508 223666314 293836138 440754207 447332628 587672276 881508414 1763016828 2497607173 4995214346 7492821519 9990428692 14985643038 29971286076