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29230685568 = 273371208279
BaseRepresentation
bin11011001110010010…
…001101110110000000
32210110010200200101000
4123032102031312000
5434331023414233
621232311012000
72053235504430
oct331622156600
983403620330
1029230685568
111143aa61787
1257b936a000
1329aab97266
1415b41ca2c0
15b61313d13
hex6ce48dd80

29230685568 has 128 divisors (see below), whose sum is σ = 98595648000. Its totient is φ = 8351617536.

The previous prime is 29230685567. The next prime is 29230685569. The reversal of 29230685568 is 86558603292.

29230685568 is a `hidden beast` number, since 2 + 9 + 23 + 0 + 68 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (29230685567) and next prime (29230685569).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29230685567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579948 + ... + 628331.

It is an arithmetic number, because the mean of its divisors is an integer number (770278500).

Almost surely, 229230685568 is an apocalyptic number.

29230685568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29230685568 is an abundant number, since it is smaller than the sum of its proper divisors (69364962432).

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

29230685568 is a wasteful number, since it uses less digits than its factorization.

29230685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208309 (or 1208291 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 29230685568 in words is "twenty-nine billion, two hundred thirty million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 1208279 2416558 3624837 4833116 7249674 8457953 9666232 10874511 14499348 16915906 19332464 21749022 25373859 28998696 32623533 33831812 38664928 43498044 50747718 57997392 65247066 67663624 76121577 77329856 86996088 101495436 115994784 130494132 135327248 152243154 154659712 173992176 202990872 228364731 231989568 260988264 270654496 304486308 347984352 405981744 456729462 463979136 521976528 541308992 608972616 695968704 811963488 913458924 1043953056 1082617984 1217945232 1391937408 1623926976 1826917848 2087906112 2435890464 3247853952 3653835696 4175812224 4871780928 7307671392 9743561856 14615342784 29230685568