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42349060422672 = 2432931231657831
BaseRepresentation
bin10011010000100001010001…
…01100111111110000010000
312112221112022211112120212020
421220100220230333300100
521022321333432011142
6230022520105331440
711630422124143413
oct1150205054776020
9175845284476766
1042349060422672
1112548154630913
1248bb646796b80
131a82664b57723
14a659c3adbb7a
154d68e2504cec
hex268428b3fc10

42349060422672 has 120 divisors (see below), whose sum is σ = 116942765094720. Its totient is φ = 13189918291200.

The previous prime is 42349060422637. The next prime is 42349060422673. The reversal of 42349060422672 is 27622406094324.

It is not an unprimeable number, because it can be changed into a prime (42349060422673) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14491204 + ... + 17166627.

It is an arithmetic number, because the mean of its divisors is an integer number (974523042456).

Almost surely, 242349060422672 is an apocalyptic number.

It is an amenable number.

42349060422672 is an abundant number, since it is smaller than the sum of its proper divisors (74593704672048).

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

42349060422672 is a wasteful number, since it uses less digits than its factorization.

42349060422672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31657933 (or 31657896 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 42349060422672 in words is "forty-two trillion, three hundred forty-nine billion, sixty million, four hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 186 232 248 348 372 464 496 696 744 899 961 1392 1488 1798 1922 2697 2883 3596 3844 5394 5766 7192 7688 10788 11532 14384 15376 21576 23064 27869 43152 46128 55738 83607 111476 167214 222952 334428 445904 668856 1337712 31657831 63315662 94973493 126631324 189946986 253262648 379893972 506525296 759787944 918077099 981392761 1519575888 1836154198 1962785522 2754231297 2944178283 3672308396 3925571044 5508462594 5888356566 7344616792 7851142088 11016925188 11776713132 14689233584 15702284176 22033850376 23553426264 28460390069 30423175591 44067700752 47106852528 56920780138 60846351182 85381170207 91269526773 113841560276 121692702364 170762340414 182539053546 227683120552 243385404728 341524680828 365078107092 455366241104 486770809456 683049361656 730156214184 882272092139 1366098723312 1460312428368 1764544184278 2646816276417 3529088368556 5293632552834 7058176737112 10587265105668 14116353474224 21174530211336 42349060422672