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542202005074608 = 243317302112443787
BaseRepresentation
bin111101101001000010011110…
…1111010001011001010110000
32122002210000010222112112111000
41323102010331322023022300
51032031414201244341413
65201100055032522000
7222130542065362164
oct17322047572131260
92562700128475430
10542202005074608
1114784264076207a
125098a46a550300
131a370578044a58
1497c6a078c2ca4
1542a3db9ad3073
hex1ed213de8b2b0

542202005074608 has 160 divisors (see below), whose sum is σ = 1647924058609920. Its totient is φ = 170096889738240.

The previous prime is 542202005074511. The next prime is 542202005074643. The reversal of 542202005074608 is 806470500202245.

542202005074608 is a `hidden beast` number, since 5 + 42 + 20 + 20 + 0 + 507 + 4 + 60 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220647691 + ... + 223091477.

It is an arithmetic number, because the mean of its divisors is an integer number (10299525366312).

Almost surely, 2542202005074608 is an apocalyptic number.

It is an amenable number.

542202005074608 is an abundant number, since it is smaller than the sum of its proper divisors (1105722053535312).

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

542202005074608 is a wasteful number, since it uses less digits than its factorization.

542202005074608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474032 (or 2474020 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 542202005074608 in words is "five hundred forty-two trillion, two hundred two billion, five million, seventy-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 30211 60422 90633 120844 181266 241688 271899 362532 483376 513587 543798 725064 815697 1027174 1087596 1450128 1540761 1631394 2054348 2175192 2443787 3081522 3262788 4108696 4350384 4622283 4887574 6163044 6525576 7331361 8217392 9244566 9775148 12326088 13051152 13866849 14662722 18489132 19550296 21994083 24652176 27733698 29325444 36978264 39100592 41544379 43988166 55467396 58650888 65982249 73956528 83088758 87976332 110934792 117301776 124633137 131964498 166177516 175952664 221869584 249266274 263928996 332355032 351905328 373899411 498532548 527857992 664710064 747798822 997065096 1055715984 1121698233 1495597644 1994130192 2243396466 2991195288 4486792932 5982390576 8973585864 17947171728 73829249057 147658498114 221487747171 295316996228 442975494342 590633992456 664463241513 885950988684 1181267984912 1255097233969 1328926483026 1771901977368 1993389724539 2510194467938 2657852966052 3543803954736 3765291701907 3986779449078 5020388935876 5315705932104 7530583403814 7973558898156 10040777871752 10631411864208 11295875105721 15061166807628 15947117796312 20081555743504 22591750211442 30122333615256 31894235592624 33887625317163 45183500422884 60244667230512 67775250634326 90367000845768 135550501268652 180734001691536 271101002537304 542202005074608