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74040073734 = 231119431136991
BaseRepresentation
bin100010011110100100…
…0011101111000000110
321002002222110110011010
41010331020131320012
52203113224324414
654002531423050
75230532146164
oct1047510357006
9232088413133
1074040073734
1129444767290
1212423a54a86
136c9c45a323
1438253dc234
151dd514e959
hex113d21de06

74040073734 has 64 divisors (see below), whose sum is σ = 170439966720. Its totient is φ = 21206052000.

The previous prime is 74040073727. The next prime is 74040073799. The reversal of 74040073734 is 43737004047.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 74040073692 and 74040073701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 471979 + ... + 608969.

It is an arithmetic number, because the mean of its divisors is an integer number (2663124480).

Almost surely, 274040073734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74040073734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85219983360).

74040073734 is an abundant number, since it is smaller than the sum of its proper divisors (96399892986).

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

74040073734 is a wasteful number, since it uses less digits than its factorization.

74040073734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137457.

The product of its (nonzero) digits is 197568, while the sum is 39.

The spelling of 74040073734 in words is "seventy-four billion, forty million, seventy-three thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 431 627 862 1254 1293 2586 4741 8189 9482 14223 16378 24567 28446 49134 90079 136991 180158 270237 273982 410973 540474 821946 1506901 2602829 3013802 4520703 5205658 7808487 9041406 15616974 28631119 57262238 59043121 85893357 118086242 171786714 177129363 354258726 649474331 1121819299 1298948662 1948422993 2243638598 3365457897 3896845986 6730915794 12340012289 24680024578 37020036867 74040073734