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75362042912 = 2513237332
BaseRepresentation
bin100011000101111101…
…1011000010000100000
321012112002222102221112
41012023323120100200
52213320140333122
654342034042452
75305353536552
oct1061373302040
9235462872845
1075362042912
1129a629aa2a2
1212732719428
1371502b7b00
14390cbdb4d2
151e6122e2e2
hex118bed8420

75362042912 has 54 divisors (see below), whose sum is σ = 160702996167. Its totient is φ = 34773163776.

The previous prime is 75362042911. The next prime is 75362042923. The reversal of 75362042912 is 21924026357.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 13875897616 + 61486145296 = 117796^2 + 247964^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=194116.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75362042912.

It is not an unprimeable number, because it can be changed into a prime (75362042911) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20186198 + ... + 20189930.

Almost surely, 275362042912 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 75362042912

75362042912 is an abundant number, since it is smaller than the sum of its proper divisors (85340953255).

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

75362042912 is an frugal number, since it uses more digits than its factorization.

75362042912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 75362042912 in words is "seventy-five billion, three hundred sixty-two million, forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 3733 5408 7466 14932 29864 48529 59728 97058 119456 194116 388232 630877 776464 1261754 1552928 2523508 5047016 10094032 13935289 20188064 27870578 55741156 111482312 181158757 222964624 362317514 445929248 724635028 1449270056 2355063841 2898540112 4710127682 5797080224 9420255364 18840510728 37681021456 75362042912