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742116437341370 = 25731321280239511
BaseRepresentation
bin1010100010111100110111001…
…0101000010011010010111010
310121022121122020111101100220022
42220233031302220103102322
51234232313430424410440
611150203330152530442
7312213100064201000
oct25057156250232272
93538548214340808
10742116437341370
111a55088a4a41a13
126b2971793b0a22
1325b12383831300
14d1388ad122a70
155abe2419a4cb5
hex2a2f372a134ba

742116437341370 has 96 divisors (see below), whose sum is σ = 1686843581011200. Its totient is φ = 234867619546560.

The previous prime is 742116437341369. The next prime is 742116437341427. The reversal of 742116437341370 is 73143734611247.

742116437341370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639540086 + ... + 640699425.

It is an arithmetic number, because the mean of its divisors is an integer number (17571287302200).

Almost surely, 2742116437341370 is an apocalyptic number.

742116437341370 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

742116437341370 is an abundant number, since it is smaller than the sum of its proper divisors (944727143669830).

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

742116437341370 is a wasteful number, since it uses less digits than its factorization.

742116437341370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280239565 (or 1280239538 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 53.

The spelling of 742116437341370 in words is "seven hundred forty-two trillion, one hundred sixteen billion, four hundred thirty-seven million, three hundred forty-one thousand, three hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 169 182 245 338 343 455 490 637 686 845 910 1183 1274 1690 1715 2366 3185 3430 4459 5915 6370 8281 8918 11830 16562 22295 41405 44590 57967 82810 115934 289835 579670 1280239511 2560479022 6401197555 8961676577 12802395110 16643113643 17923353154 33286227286 44808382885 62731736039 83215568215 89616765770 116501795501 125463472078 166431136430 216360477359 233003591002 313658680195 432720954718 439122152273 582508977505 627317360390 815512568507 878244304546 1081802386795 1165017955010 1514523341513 1631025137014 2163604773590 2195610761365 3029046683026 4077562842535 4391221522730 5708587979549 7572616707565 8155125685070 10601663390591 11417175959098 15145233415130 21203326781182 28542939897745 53008316952955 57085879795490 74211643734137 106016633905910 148423287468274 371058218670685 742116437341370