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29668767696 = 2433538112763
BaseRepresentation
bin11011101000011001…
…010111011111010000
32211120200000120002000
4123220121113133100
5441230201031241
621344000354000
72100135236001
oct335031273720
984520016060
1029668767696
1111645278327
125900015900
132a4a880459
1416164651a8
15b899eaeb6
hex6e86577d0

29668767696 has 80 divisors (see below), whose sum is σ = 85182851520. Its totient is φ = 9886976640.

The previous prime is 29668767677. The next prime is 29668767757. The reversal of 29668767696 is 69676786692.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2318211 + ... + 2330973.

It is an arithmetic number, because the mean of its divisors is an integer number (1064785644).

Almost surely, 229668767696 is an apocalyptic number.

It is an amenable number.

29668767696 is an abundant number, since it is smaller than the sum of its proper divisors (55514083824).

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

29668767696 is a wasteful number, since it uses less digits than its factorization.

29668767696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18161 (or 18149 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 29668767696 in words is "twenty-nine billion, six hundred sixty-eight million, seven hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5381 10762 12763 16143 21524 25526 32286 38289 43048 48429 51052 64572 76578 86096 96858 102104 114867 129144 145287 153156 193716 204208 229734 258288 290574 306312 344601 387432 459468 581148 612624 689202 774864 918936 1162296 1378404 1837872 2324592 2756808 5513616 68677703 137355406 206033109 274710812 412066218 549421624 618099327 824132436 1098843248 1236198654 1648264872 1854297981 2472397308 3296529744 3708595962 4944794616 7417191924 9889589232 14834383848 29668767696