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29136307464 = 23321140079181
BaseRepresentation
bin11011001000101010…
…001100010100001000
32210012120002202221200
4123020222030110020
5434132343314324
621215100104200
72051011345545
oct331052142410
983176082850
1029136307464
11113a1760050
125791835060
132994471624
1415a585dbcc
15b57dbeec9
hex6c8a8c508

29136307464 has 96 divisors (see below), whose sum is σ = 86115407040. Its totient is φ = 8826019200.

The previous prime is 29136307439. The next prime is 29136307481. The reversal of 29136307464 is 46470363192.

29136307464 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 630 + 7 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×291363074642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3168954 + ... + 3178134.

It is an arithmetic number, because the mean of its divisors is an integer number (897035490).

Almost surely, 229136307464 is an apocalyptic number.

29136307464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29136307464 is an abundant number, since it is smaller than the sum of its proper divisors (56979099576).

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

29136307464 is a wasteful number, since it uses less digits than its factorization.

29136307464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13211 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 29136307464 in words is "twenty-nine billion, one hundred thirty-six million, three hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4007 8014 9181 12021 16028 18362 24042 27543 32056 36063 36724 44077 48084 55086 72126 73448 82629 88154 96168 100991 110172 132231 144252 165258 176308 201982 220344 264462 288504 302973 330516 352616 396693 403964 528924 605946 661032 793386 807928 908919 1057848 1211892 1586772 1817838 2423784 3173544 3635676 7271352 36788267 73576534 110364801 147153068 220729602 294306136 331094403 404670937 441459204 662188806 809341874 882918408 1214012811 1324377612 1618683748 2428025622 2648755224 3237367496 3642038433 4856051244 7284076866 9712102488 14568153732 29136307464