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74040073704 = 2334257444589
BaseRepresentation
bin100010011110100100…
…0011101110111101000
321002002222110110010000
41010331020131313220
52203113224324304
654002531423000
75230532146122
oct1047510356750
9232088413100
1074040073704
1129444767263
1212423a54a60
136c9c45a2cc
1438253dc212
151dd514e939
hex113d21dde8

74040073704 has 80 divisors (see below), whose sum is σ = 208188159300. Its totient is φ = 24583938048.

The previous prime is 74040073687. The next prime is 74040073727. The reversal of 74040073704 is 40737004047.

It can be written as a sum of positive squares in 2 ways, for example, as 72521412804 + 1518660900 = 269298^2 + 38970^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55759 + ... + 388830.

Almost surely, 274040073704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74040073704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104094079650).

74040073704 is an abundant number, since it is smaller than the sum of its proper divisors (134148085596).

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

74040073704 is a wasteful number, since it uses less digits than its factorization.

74040073704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444864 (or 444851 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 74040073704 in words is "seventy-four billion, forty million, seventy-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 257 324 514 648 771 1028 1542 2056 2313 3084 4626 6168 6939 9252 13878 18504 20817 27756 41634 55512 83268 166536 444589 889178 1333767 1778356 2667534 3556712 4001301 5335068 8002602 10670136 12003903 16005204 24007806 32010408 36011709 48015612 72023418 96031224 114259373 144046836 228518746 288093672 342778119 457037492 685556238 914074984 1028334357 1371112476 2056668714 2742224952 3085003071 4113337428 6170006142 8226674856 9255009213 12340012284 18510018426 24680024568 37020036852 74040073704