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29690342104000 = 265317218311339
BaseRepresentation
bin1101100000000110100100…
…10010110101101111000000
310220010100221222201210002011
412300003102102311233000
512342421310034312000
6143051315503502304
76153025232611414
oct660032222655700
9126110858653064
1029690342104000
119507670101626
1233b622b5b7994
131374a307733a6
1474903d6d8d44
153674a97d62ba
hex1b00d24b5bc0

29690342104000 has 112 divisors (see below), whose sum is σ = 77853316825440. Its totient is φ = 11177540505600.

The previous prime is 29690342103959. The next prime is 29690342104057. The reversal of 29690342104000 is 40124309692.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 109019670 + ... + 109291669.

Almost surely, 229690342104000 is an apocalyptic number.

29690342104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29690342104000 is an abundant number, since it is smaller than the sum of its proper divisors (48162974721440).

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

29690342104000 is a wasteful number, since it uses less digits than its factorization.

29690342104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218311383 (or 218311363 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 29690342104000 in words is "twenty-nine trillion, six hundred ninety billion, three hundred forty-two million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 136000 218311339 436622678 873245356 1091556695 1746490712 2183113390 3492981424 3711292763 4366226780 5457783475 6985962848 7422585526 8732453560 10915566950 13971925696 14845171052 17464907120 18556463815 21831133900 27288917375 29690342104 34929814240 37112927630 43662267800 54577834750 59380684208 69859628480 74225855260 87324535600 92782319075 109155669500 118761368416 148451710520 174649071200 185564638150 218311339000 237522736832 296903421040 349298142400 371129276300 436622678000 463911595375 593806842080 742258552600 873245356000 927823190750 1187613684160 1484517105200 1746490712000 1855646381500 2969034210400 3711292763000 5938068420800 7422585526000 14845171052000 29690342104000