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42520673600 = 265241648181
BaseRepresentation
bin100111100110011011…
…011111110101000000
311001202100011000121222
4213212123133311000
51144040243023400
631311141334212
73033462522266
oct474633376500
9131670130558
1042520673600
111703a8a2469
1282a8107368
13401836c8c2
1420b5280436
15118ce48185
hex9e66dfd40

42520673600 has 84 divisors (see below), whose sum is σ = 107179486428. Its totient is φ = 16593408000.

The previous prime is 42520673593. The next prime is 42520673621. The reversal of 42520673600 is 637602524.

It can be written as a sum of positive squares in 6 ways, for example, as 2000593984 + 40520079616 = 44728^2 + 201296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258491 + ... + 389690.

It is an arithmetic number, because the mean of its divisors is an integer number (1275946267).

Almost surely, 242520673600 is an apocalyptic number.

42520673600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42520673600 is an abundant number, since it is smaller than the sum of its proper divisors (64658812828).

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

42520673600 is a wasteful number, since it uses less digits than its factorization.

42520673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648244 (or 648229 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 42520673600 in words is "forty-two billion, five hundred twenty million, six hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 160 164 200 205 320 328 400 410 656 800 820 1025 1312 1600 1640 2050 2624 3280 4100 6560 8200 13120 16400 32800 65600 648181 1296362 2592724 3240905 5185448 6481810 10370896 12963620 16204525 20741792 25927240 26575421 32409050 41483584 51854480 53150842 64818100 103708960 106301684 129636200 132877105 207417920 212603368 259272400 265754210 425206736 518544800 531508420 664385525 850413472 1037089600 1063016840 1328771050 1700826944 2126033680 2657542100 4252067360 5315084200 8504134720 10630168400 21260336800 42520673600