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742116467673700 = 225273134198915561
BaseRepresentation
bin1010100010111100110111010…
…0011100000000101001100100
310121022121122022121110102000221
42220233031310130000221210
51234232314011211024300
611150203333155014124
7312213100613052310
oct25057156434005144
93538548277412027
10742116467673700
111a550891007a059
126b29718759a344
1325b12389bc1632
14d1388b317ab40
155abe24449731a
hex2a2f374700a64

742116467673700 has 72 divisors (see below), whose sum is σ = 1899818157300224. Its totient is φ = 246232192032000.

The previous prime is 742116467673689. The next prime is 742116467673769. The reversal of 742116467673700 is 7376764611247.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17099436081 + ... + 17099479480.

Almost surely, 2742116467673700 is an apocalyptic number.

742116467673700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742116467673700 is an abundant number, since it is smaller than the sum of its proper divisors (1157701689626524).

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

742116467673700 is a wasteful number, since it uses less digits than its factorization.

742116467673700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34198915613 (or 34198915606 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 61.

The spelling of 742116467673700 in words is "seven hundred forty-two trillion, one hundred sixteen billion, four hundred sixty-seven million, six hundred seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 21700 34198915561 68397831122 136795662244 170994577805 239392408927 341989155610 478784817854 683978311220 854972889025 957569635708 1060166382391 1196962044635 1709945778050 2120332764782 2393924089270 3419891556100 4240665529564 4787848178540 5300831911955 5984810223175 7421164676737 10601663823910 11969620446350 14842329353474 21203327647820 23939240892700 26504159559775 29684658706948 37105823383685 53008319119550 74211646767370 106016638239100 148423293534740 185529116918425 371058233836850 742116467673700