Search a number
-
+
74009071248 = 2437557395449
BaseRepresentation
bin100010011101101001…
…0001100111010010000
321002000211010100201220
41010323102030322100
52203032310234443
653555503125040
75230004504010
oct1047322147220
9232024110656
1074009071248
11294292116a2
12124155a3780
136c95bc3c68
14382124bc40
151dd2578a83
hex113b48ce90

74009071248 has 80 divisors (see below), whose sum is σ = 218895811200. Its totient is φ = 21107432448.

The previous prime is 74009071247. The next prime is 74009071303. The reversal of 74009071248 is 84217090047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (74009071247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10573 + ... + 384876.

It is an arithmetic number, because the mean of its divisors is an integer number (2736197640).

Almost surely, 274009071248 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 74009071248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109447905600).

74009071248 is an abundant number, since it is smaller than the sum of its proper divisors (144886739952).

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

74009071248 is a wasteful number, since it uses less digits than its factorization.

74009071248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396024 (or 396018 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 74009071248 in words is "seventy-four billion, nine million, seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 557 1114 1671 2228 3342 3899 4456 6684 7798 8912 11697 13368 15596 23394 26736 31192 46788 62384 93576 187152 395449 790898 1186347 1581796 2372694 2768143 3163592 4745388 5536286 6327184 8304429 9490776 11072572 16608858 18981552 22145144 33217716 44290288 66435432 132870864 220265093 440530186 660795279 881060372 1321590558 1541855651 1762120744 2643181116 3083711302 3524241488 4625566953 5286362232 6167422604 9251133906 10572724464 12334845208 18502267812 24669690416 37004535624 74009071248