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29298908672 = 2911171032971
BaseRepresentation
bin11011010010010110…
…011101111000000000
32210121220001202212122
4123102112131320000
5440001010034142
621243145143412
72055024420545
oct332226357000
983556052778
1029298908672
1111475519810
12581818ab68
1329bc063067
1415bd2a8bcc
15b672dd1d2
hex6d259de00

29298908672 has 160 divisors (see below), whose sum is σ = 68298557184. Its totient is φ = 12408422400.

The previous prime is 29298908659. The next prime is 29298908677. The reversal of 29298908672 is 27680989292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29298908677) 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, 9860147 + ... + 9863117.

Almost surely, 229298908672 is an apocalyptic number.

29298908672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29298908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149278592).

29298908672 is an abundant number, since it is smaller than the sum of its proper divisors (38999648512).

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

29298908672 is a wasteful number, since it uses less digits than its factorization.

29298908672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 29298908672 in words is "twenty-nine billion, two hundred ninety-eight million, nine hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 103 128 136 176 187 206 256 272 352 374 412 512 544 704 748 824 1088 1133 1408 1496 1648 1751 2176 2266 2816 2971 2992 3296 3502 4352 4532 5632 5942 5984 6592 7004 8704 9064 11884 11968 13184 14008 18128 19261 23768 23936 26368 28016 32681 36256 38522 47536 47872 50507 52736 56032 65362 72512 77044 95072 95744 101014 112064 130724 145024 154088 190144 202028 224128 261448 290048 306013 308176 380288 404056 448256 522896 555577 580096 612026 616352 760576 808112 896512 1045792 1111154 1224052 1232704 1521152 1616224 2091584 2222308 2448104 2465408 3232448 3366143 4183168 4444616 4896208 4930816 5202221 6464896 6732286 8366336 8889232 9792416 9861632 10404442 12929792 13464572 16732672 17778464 19584832 20808884 25859584 26929144 35556928 39169664 41617768 53858288 57224431 71113856 78339328 83235536 107716576 114448862 142227712 156678656 166471072 215433152 228897724 284455424 332942144 430866304 457795448 665884288 861732608 915590896 1331768576 1723465216 1831181792 2663537152 3662363584 7324727168 14649454336 29298908672