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29368379367672 = 2332389718783177
BaseRepresentation
bin1101010110101110110111…
…10100011110000011111000
310211222120220212001011000020
412223113123310132003320
512322132420104231142
6142243351445010440
76120536550530562
oct653273364360370
9124876825034006
1029368379367672
1193a3072580474
1233639569b3a20
13135057073ba17
14737619756332
1535de13e09cec
hex1ab5dbd1e0f8

29368379367672 has 128 divisors (see below), whose sum is σ = 77485696934400. Its totient is φ = 9257219975168.

The previous prime is 29368379367667. The next prime is 29368379367683. The reversal of 29368379367672 is 27676397386392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353041348 + ... + 353124524.

It is an arithmetic number, because the mean of its divisors is an integer number (605357007300).

Almost surely, 229368379367672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29368379367672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38742848467200).

29368379367672 is an abundant number, since it is smaller than the sum of its proper divisors (48117317566728).

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

29368379367672 is a wasteful number, since it uses less digits than its factorization.

29368379367672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90485 (or 90481 counting only the distinct ones).

The product of its digits is 5184974592, while the sum is 78.

The spelling of 29368379367672 in words is "twenty-nine trillion, three hundred sixty-eight billion, three hundred seventy-nine million, three hundred sixty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 712 1068 2047 2136 4094 6141 7187 8188 12282 14374 16376 21561 24564 28748 43122 49128 57496 83177 86244 165301 166354 172488 249531 330602 332708 495903 499062 639643 661204 665416 991806 998124 1279286 1322408 1913071 1918929 1983612 1996248 2558572 3826142 3837858 3967224 5117144 5739213 7402753 7652284 7675716 11478426 14711789 14805506 15304568 15351432 22208259 22956852 29423578 29611012 44135367 44416518 45913704 58847156 59222024 88270734 88833036 117694312 170263319 176541468 177666072 340526638 353082936 510789957 597793099 681053276 1021579914 1195586198 1362106552 1793379297 2043159828 2391172396 3586758594 4086319656 4782344792 7173517188 13749241277 14347034376 27498482554 41247723831 53203585811 54996965108 82495447662 106407171622 109993930216 159610757433 164990895324 212814343244 319221514866 329981790648 425628686488 638443029732 1223682473653 1276886059464 2447364947306 3671047420959 4894729894612 7342094841918 9789459789224 14684189683836 29368379367672