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29349431001 = 3311243401521
BaseRepresentation
bin11011010101010111…
…001100011011011001
32210202102010120111000
4123111113030123121
5440101423243001
621252152055213
72056210022142
oct332527143331
983672116430
1029349431001
11114a0a96a00
125831094509
1329c9672127
1415c5c9aac9
15b6b96ca86
hex6d55cc6d9

29349431001 has 96 divisors (see below), whose sum is σ = 49120283520. Its totient is φ = 17297280000.

The previous prime is 29349430987. The next prime is 29349431011. The reversal of 29349431001 is 10013494392.

It is not a de Polignac number, because 29349431001 - 214 = 29349414617 is a prime.

It is a super-2 number, since 2×293494310012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29349431011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56332621 + ... + 56333141.

It is an arithmetic number, because the mean of its divisors is an integer number (511669620).

Almost surely, 229349431001 is an apocalyptic number.

It is an amenable number.

29349431001 is a deficient number, since it is larger than the sum of its proper divisors (19770852519).

29349431001 is a wasteful number, since it uses less digits than its factorization.

29349431001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 29349431001 in words is "twenty-nine billion, three hundred forty-nine million, four hundred thirty-one thousand, one".

Divisors: 1 3 9 11 27 33 43 99 121 129 297 363 387 401 473 521 1089 1161 1203 1419 1563 3267 3609 4257 4411 4689 5203 5731 10827 12771 13233 14067 15609 17193 17243 22403 39699 46827 48521 51579 51729 63041 67209 119097 140481 145563 154737 155187 189123 189673 201627 208921 246433 436689 465561 567369 569019 604881 626763 739299 1310067 1702107 1707057 1880289 2086403 2217897 2298131 2710763 5121171 5640867 6259209 6653691 6894393 8132289 8983603 18777627 20683179 24396867 25279441 26950809 56332881 62049537 73190601 75838323 80852427 98819633 227514969 242557281 296458899 682544907 889376697 1087015963 2668130091 3261047889 9783143667 29349431001