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74042763664 = 2459211532
BaseRepresentation
bin100010011110101001…
…0101110100110010000
321002010011112010001011
41010331102232212100
52203114421414124
654003105220304
75230564051432
oct1047522564620
9232104463034
1074042763664
1129446234271
1212424931694
136c9cb8c7bc
1438258dc652
151dd54d1994
hex113d4ae990

74042763664 has 45 divisors (see below), whose sum is σ = 146057231073. Its totient is φ = 36362336256.

The previous prime is 74042763661. The next prime is 74042763701. The reversal of 74042763664 is 46636724047.

The square root of 74042763664 is 272108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58515610000 + 15527153664 = 241900^2 + 124608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74042763661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64216912 + ... + 64218064.

Almost surely, 274042763664 is an apocalyptic number.

74042763664 is the 272108-th square number.

It is an amenable number.

74042763664 is a deficient number, since it is larger than the sum of its proper divisors (72014467409).

74042763664 is an frugal number, since it uses more digits than its factorization.

74042763664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 49.

Multiplying 74042763664 by its sum of digits (49), we get a square (3628095419536 = 19047562).

The spelling of 74042763664 in words is "seventy-four billion, forty-two million, seven hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 59 118 236 472 944 1153 2306 3481 4612 6962 9224 13924 18448 27848 55696 68027 136054 272108 544216 1088432 1329409 2658818 4013593 5317636 8027186 10635272 16054372 21270544 32108744 64217488 78435131 156870262 313740524 627481048 1254962096 4627672729 9255345458 18510690916 37021381832 74042763664