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29959446420 = 223251583105143
BaseRepresentation
bin11011111001101110…
…001101111110010100
32212022220222120022200
4123321232031332110
5442324104241140
621432502524500
72110265043561
oct337156157624
985286876280
1029959446420
1111784365582
125981436730
132a95b665b7
141642ccd868
15ba52b8030
hex6f9b8df94

29959446420 has 72 divisors (see below), whose sum is σ = 90935260416. Its totient is φ = 7984062912.

The previous prime is 29959446401. The next prime is 29959446437. The reversal of 29959446420 is 2464495992.

29959446420 is a `hidden beast` number, since 2 + 9 + 9 + 594 + 4 + 6 + 42 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232369 + ... + 337511.

It is an arithmetic number, because the mean of its divisors is an integer number (1262989728).

Almost surely, 229959446420 is an apocalyptic number.

29959446420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29959446420 is an abundant number, since it is smaller than the sum of its proper divisors (60975813996).

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

29959446420 is a wasteful number, since it uses less digits than its factorization.

29959446420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106741 (or 106736 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 29959446420 in words is "twenty-nine billion, nine hundred fifty-nine million, four hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1583 3166 4749 6332 7915 9498 14247 15830 18996 23745 28494 31660 47490 56988 71235 94980 105143 142470 210286 284940 315429 420572 525715 630858 946287 1051430 1261716 1577145 1892574 2102860 3154290 3785148 4731435 6308580 9462870 18925740 166441369 332882738 499324107 665765476 832206845 998648214 1497972321 1664413690 1997296428 2496620535 2995944642 3328827380 4993241070 5991889284 7489861605 9986482140 14979723210 29959446420