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42011909901983 = 727191128334679
BaseRepresentation
bin10011000110101101010001…
…11101110100111010011111
312111202022002020100120101102
421203112220331310322133
521001310342413330413
6225204001023503315
711564155202044100
oct1143265075647237
9174668066316342
1042011909901983
111242817298955a
124866233757b3b
131a59924408bc8
14a5355ca123a7
154ccc5d5be458
hex2635a8f74e9f

42011909901983 has 48 divisors (see below), whose sum is σ = 49641842165760. Its totient is φ = 35443956038400.

The previous prime is 42011909901979. The next prime is 42011909901989. The reversal of 42011909901983 is 38910990911024.

It is not a de Polignac number, because 42011909901983 - 22 = 42011909901979 is a prime.

It is a super-2 number, since 2×420119099019832 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42011909901989) 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, 8978820038 + ... + 8978824716.

It is an arithmetic number, because the mean of its divisors is an integer number (1034205045120).

Almost surely, 242011909901983 is an apocalyptic number.

42011909901983 is a deficient number, since it is larger than the sum of its proper divisors (7629932263777).

42011909901983 is a wasteful number, since it uses less digits than its factorization.

42011909901983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508 (or 8501 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 56.

The spelling of 42011909901983 in words is "forty-two trillion, eleven billion, nine hundred nine million, nine hundred one thousand, nine hundred eighty-three".

Divisors: 1 7 49 71 497 911 2833 3479 4679 6377 19831 32753 44639 64681 138817 201143 229271 332209 452767 1408001 2325463 2580863 3169369 4262569 9856007 13255607 16278241 18066041 29837983 92789249 126462287 183241273 208865881 302642399 649524743 941148097 1282688911 2118496793 6588036679 8978822377 12075857977 14829477551 46116256753 84531005839 591717040873 857385916367 6001701414569 42011909901983