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29431620864 = 28341419349
BaseRepresentation
bin11011011010010000…
…101110010100000000
32210222010210020210000
4123122100232110000
5440233443331424
621304245440000
72061225435552
oct333220562400
983863706700
1029431620864
1111533423408
125854710000
132a106bb199
1415d2b734d2
15b73ca53c9
hex6da42e500

29431620864 has 90 divisors (see below), whose sum is σ = 87759829850. Its totient is φ = 9810533376.

The previous prime is 29431620817. The next prime is 29431620899. The reversal of 29431620864 is 46802613492.

29431620864 is a `hidden beast` number, since 2 + 9 + 431 + 6 + 208 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29364249600 + 67371264 = 171360^2 + 8208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 688939 + ... + 730410.

Almost surely, 229431620864 is an apocalyptic number.

29431620864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29431620864 is an abundant number, since it is smaller than the sum of its proper divisors (58328208986).

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

29431620864 is an equidigital number, since it uses as much as digits as its factorization.

29431620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419377 (or 1419354 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 29431620864 in words is "twenty-nine billion, four hundred thirty-one million, six hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 1419349 2838698 4258047 5677396 8516094 11354792 12774141 17032188 22709584 25548282 34064376 38322423 45419168 51096564 68128752 76644846 90838336 102193128 114967269 136257504 153289692 181676672 204386256 229934538 272515008 306579384 363353344 408772512 459869076 545030016 613158768 817545024 919738152 1090060032 1226317536 1635090048 1839476304 2452635072 3270180096 3678952608 4905270144 7357905216 9810540288 14715810432 29431620864