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29114207568 = 24332913716963
BaseRepresentation
bin11011000111010101…
…111000110101010000
32210011000111222121000
4123013111320311100
5434111214120233
621212550302000
72050322452425
oct330725706520
983130458530
1029114207568
1111390236076
125786357900
13298ca04474
1415a2949d4c
15b55ea6d13
hex6c7578d50

29114207568 has 160 divisors (see below), whose sum is σ = 87086390400. Its totient is φ = 9301146624.

The previous prime is 29114207557. The next prime is 29114207569. The reversal of 29114207568 is 86570241192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29114207569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707855 + ... + 1724817.

It is an arithmetic number, because the mean of its divisors is an integer number (544289940).

Almost surely, 229114207568 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 29114207568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43543195200).

29114207568 is an abundant number, since it is smaller than the sum of its proper divisors (57972182832).

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

29114207568 is a wasteful number, since it uses less digits than its factorization.

29114207568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 29114207568 in words is "twenty-nine billion, one hundred fourteen million, two hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 137 144 174 216 232 261 274 348 411 432 464 522 548 696 783 822 1044 1096 1233 1392 1566 1644 2088 2192 2466 3132 3288 3699 3973 4176 4932 6264 6576 7398 7946 9864 11919 12528 14796 15892 16963 19728 23838 29592 31784 33926 35757 47676 50889 59184 63568 67852 71514 95352 101778 107271 135704 143028 152667 190704 203556 214542 271408 286056 305334 407112 429084 458001 491927 572112 610668 814224 858168 916002 983854 1221336 1475781 1716336 1832004 1967708 2323931 2442672 2951562 3664008 3935416 4427343 4647862 5903124 6971793 7328016 7870832 8854686 9295724 11806248 13282029 13943586 17709372 18591448 20915379 23612496 26564058 27887172 35418744 37182896 41830758 53128116 55774344 62746137 67393999 70837488 83661516 106256232 111548688 125492274 134787998 167323032 202181997 212512464 250984548 269575996 334646064 404363994 501969096 539151992 606545991 808727988 1003938192 1078303984 1213091982 1617455976 1819637973 2426183964 3234911952 3639275946 4852367928 7278551892 9704735856 14557103784 29114207568