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29191714916 = 22721337419739
BaseRepresentation
bin11011001011111101…
…100011100001100100
32210100102100202200112
4123023331203201210
5434241034334131
621224355432152
72052253324400
oct331375434144
983312322615
1029191714916
111141aa64531
1257a82b5658
1329a2aa10c0
1415acd64100
15b5cbb702b
hex6cbf63864

29191714916 has 144 divisors (see below), whose sum is σ = 65972894400. Its totient is φ = 11194267392.

The previous prime is 29191714859. The next prime is 29191714943. The reversal of 29191714916 is 61941719192.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39501275 + ... + 39502013.

It is an arithmetic number, because the mean of its divisors is an integer number (458145100).

Almost surely, 229191714916 is an apocalyptic number.

29191714916 is a gapful number since it is divisible by the number (26) 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 29191714916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32986447200).

29191714916 is an abundant number, since it is smaller than the sum of its proper divisors (36781179484).

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

29191714916 is a wasteful number, since it uses less digits than its factorization.

29191714916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its digits is 244944, while the sum is 50.

The spelling of 29191714916 in words is "twenty-nine billion, one hundred ninety-one million, seven hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 182 196 259 364 419 481 518 637 739 838 962 1036 1274 1478 1676 1813 1924 2548 2933 2956 3367 3626 5173 5447 5866 6734 7252 9607 10346 10894 11732 13468 15503 19214 20531 20692 21788 23569 27343 31006 36211 38129 38428 41062 47138 54686 62012 67249 72422 76258 82124 94276 108521 109372 134498 144844 152516 191401 201539 217042 266903 268996 309641 355459 382802 403078 434084 470743 533806 619282 710918 759647 765604 806156 941486 1067612 1238564 1339807 1410773 1421836 1519294 1882972 2167487 2488213 2679614 2821546 3038588 4025333 4334974 4976426 5359228 5643092 8050666 8669948 9875411 9952852 11456717 15172409 16101332 17417491 19750822 22913434 28177331 30344818 34834982 39501644 45826868 56354662 60689636 69669964 80197019 112709324 148937321 160394038 197241317 297874642 320788076 394482634 561379133 595749284 788965268 1042561247 1122758266 2085122494 2245516532 4170244988 7297928729 14595857458 29191714916