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24714042780 = 22357218614517
BaseRepresentation
bin10111000001000100…
…100101110110011100
32100210100211110020210
4113001010211312130
5401103243332110
615204203412420
71533302616600
oct270104456634
970710743223
1024714042780
11a532484149
124958824110
13243b21446b
1412a63cb500
15999a39520
hex5c1125d9c

24714042780 has 144 divisors (see below), whose sum is σ = 80558253216. Its totient is φ = 5644638720.

The previous prime is 24714042713. The next prime is 24714042781. The reversal of 24714042780 is 8724041742.

It is a happy number.

It is a super-2 number, since 2×247140427802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24714042781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5469082 + ... + 5473598.

It is an arithmetic number, because the mean of its divisors is an integer number (559432314).

Almost surely, 224714042780 is an apocalyptic number.

24714042780 is a gapful number since it is divisible by the number (20) 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 24714042780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279126608).

24714042780 is an abundant number, since it is smaller than the sum of its proper divisors (55844210436).

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

24714042780 is a wasteful number, since it uses less digits than its factorization.

24714042780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 24714042780 in words is "twenty-four billion, seven hundred fourteen million, forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1861 2940 3722 4517 5583 7444 9034 9305 11166 13027 13551 18068 18610 22332 22585 26054 27102 27915 31619 37220 39081 45170 52108 54204 55830 63238 65135 67755 78162 90340 91189 94857 111660 126476 130270 135510 156324 158095 182378 189714 195405 221333 260540 271020 273567 316190 364756 379428 390810 442666 455945 474285 547134 632380 663999 781620 885332 911890 948570 1094268 1106665 1327998 1367835 1823780 1897140 2213330 2655996 2735670 3319995 4426660 5471340 6639990 8406137 13279980 16812274 25218411 33624548 42030685 50436822 58842959 84061370 100873644 117685918 126092055 168122740 176528877 235371836 252184110 294214795 353057754 411900713 504368220 588429590 706115508 823801426 882644385 1176859180 1235702139 1647602852 1765288770 2059503565 2471404278 3530577540 4119007130 4942808556 6178510695 8238014260 12357021390 24714042780