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74642219040 = 2535473308609
BaseRepresentation
bin100010110000100000…
…1011110000000100000
321010122221111121020010
41011201001132000200
52210331402002130
654142401444520
75251463251644
oct1054101360040
9233587447203
1074642219040
112972364aa34
1212571640740
13706712751c
143881382c24
151e1ce430b0
hex116105e020

74642219040 has 96 divisors (see below), whose sum is σ = 240125679360. Its totient is φ = 19481083904.

The previous prime is 74642218999. The next prime is 74642219053. The reversal of 74642219040 is 4091224647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 74642219040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631745 + ... + 1676864.

It is an arithmetic number, because the mean of its divisors is an integer number (2501309160).

Almost surely, 274642219040 is an apocalyptic number.

It is an amenable number.

74642219040 is an abundant number, since it is smaller than the sum of its proper divisors (165483460320).

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

74642219040 is a wasteful number, since it uses less digits than its factorization.

74642219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308674 (or 3308666 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 74642219040 in words is "seventy-four billion, six hundred forty-two million, two hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 3308609 6617218 9925827 13234436 16543045 19851654 26468872 33086090 39703308 49629135 52937744 66172180 79406616 99258270 105875488 132344360 155504623 158813232 198516540 264688720 311009246 317626464 397033080 466513869 529377440 622018492 777523115 794066160 933027738 1244036984 1555046230 1588132320 1866055476 2332569345 2488073968 3110092460 3732110952 4665138690 4976147936 6220184920 7464221904 9330277380 12440369840 14928443808 18660554760 24880739680 37321109520 74642219040