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42780066700 = 225272315117597
BaseRepresentation
bin100111110101111001…
…000000001110001100
311002102102020120001211
4213311321000032030
51200103144113300
631353005144204
73043062365350
oct476571001614
9132372216054
1042780066700
1117163261328
12835ab5b064
13405a020847
1420db8c3460
1511a5ad54ba
hex9f5e4038c

42780066700 has 144 divisors (see below), whose sum is σ = 111446866944. Its totient is φ = 13936032000.

The previous prime is 42780066697. The next prime is 42780066727. The reversal of 42780066700 is 766008724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422302 + ... + 2439898.

It is an arithmetic number, because the mean of its divisors is an integer number (773936576).

Almost surely, 242780066700 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 42780066700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55723433472).

42780066700 is an abundant number, since it is smaller than the sum of its proper divisors (68666800244).

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

42780066700 is a wasteful number, since it uses less digits than its factorization.

42780066700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17792 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 42780066700 in words is "forty-two billion, seven hundred eighty million, sixty-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 151 161 175 230 302 322 350 460 575 604 644 700 755 805 1057 1150 1510 1610 2114 2300 3020 3220 3473 3775 4025 4228 5285 6946 7550 8050 10570 13892 15100 16100 17365 17597 21140 24311 26425 34730 35194 48622 52850 69460 70388 86825 87985 97244 105700 121555 123179 173650 175970 243110 246358 347300 351940 404731 439925 486220 492716 607775 615895 809462 879850 1215550 1231790 1618924 1759700 2023655 2431100 2463580 2657147 2833117 3079475 4047310 5314294 5666234 6158950 8094620 10118275 10628588 11332468 12317900 13285735 14165585 18600029 20236550 26571470 28331170 37200058 40473100 53142940 56662340 61114381 66428675 70827925 74400116 93000145 122228762 132857350 141655850 186000290 244457524 265714700 283311700 305571905 372000580 427800667 465000725 611143810 855601334 930001450 1222287620 1527859525 1711202668 1860002900 2139003335 3055719050 4278006670 6111438100 8556013340 10695016675 21390033350 42780066700