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42609912754248 = 2334756101167443
BaseRepresentation
bin10011011000000111001001…
…01101101011000001001000
312120212110122002020000020000
421230003210231223001020
521041110100131113443
6230342420152203000
711655315234320010
oct1154034455530110
9176773562200200
1042609912754248
1112638842a03434
124942105699460
131aa113637a398
14a7448b940c40
154dd5ace3e8d3
hex26c0e4b6b048

42609912754248 has 160 divisors (see below), whose sum is σ = 136400056541760. Its totient is φ = 12173971075200.

The previous prime is 42609912754187. The next prime is 42609912754267. The reversal of 42609912754248 is 84245721990624.

It is a happy number.

42609912754248 is a `hidden beast` number, since 4 + 2 + 60 + 9 + 9 + 1 + 27 + 542 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 254390415 + ... + 254557857.

It is an arithmetic number, because the mean of its divisors is an integer number (852500353386).

Almost surely, 242609912754248 is an apocalyptic number.

It is an amenable number.

42609912754248 is an abundant number, since it is smaller than the sum of its proper divisors (93790143787512).

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

42609912754248 is a wasteful number, since it uses less digits than its factorization.

42609912754248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223569 (or 223556 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 42609912754248 in words is "forty-two trillion, six hundred nine billion, nine hundred twelve million, seven hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 56101 112202 167443 168303 224404 334886 336606 392707 448808 502329 504909 669772 673212 785414 1004658 1009818 1172101 1178121 1339544 1346424 1506987 1514727 1570828 2009316 2019636 2344202 2356242 3013974 3029454 3141656 3516303 3534363 4018632 4039272 4520961 4544181 4688404 4712484 6027948 6058908 7032606 7068726 9041922 9088362 9376808 9424968 10548909 10603089 12055896 12117816 13562883 14065212 14137452 18083844 18176724 21097818 21206178 27125766 28130424 28274904 31646727 31809267 36167688 36353448 42195636 42412356 54251532 63293454 63618534 84391272 84824712 94940181 108503064 126586908 127237068 189880362 253173816 254474136 379760724 759521448 9393719743 18787439486 28181159229 37574878972 56362318458 65756038201 75149757944 84543477687 112724636916 131512076402 169086955374 197268114603 225449273832 253630433061 263024152804 338173910748 394536229206 507260866122 526048305608 591804343809 676347821496 760891299183 789072458412 1014521732244 1183608687618 1521782598366 1578144916824 1775413031427 2029043464488 2367217375236 3043565196732 3550826062854 4734434750472 5326239094281 6087130393464 7101652125708 10652478188562 14203304251416 21304956377124 42609912754248