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118038970624 = 2810921972
BaseRepresentation
bin110110111101110101…
…0111100000100000000
3102021200100010222220211
41231323222330010000
53413220434024444
6130120520443504
711346054460411
oct1557352740400
9367610128824
10118038970624
1146072a15793
121aa63019594
13b191b36163
1459dab13808
15310cc3ec34
hex1b7babc100

118038970624 has 81 divisors (see below), whose sum is σ = 239011530807. Its totient is φ = 58181179392.

The previous prime is 118038970607. The next prime is 118038970631. The reversal of 118038970624 is 426079830811.

The square root of 118038970624 is 343568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66069561600 + 51969409024 = 257040^2 + 227968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 599182494 + ... + 599182690.

Almost surely, 2118038970624 is an apocalyptic number.

118038970624 is the 343568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118038970624

118038970624 is an abundant number, since it is smaller than the sum of its proper divisors (120972560183).

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

118038970624 is an frugal number, since it uses more digits than its factorization.

118038970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 118038970624 by its sum of digits (49), we get a square (5783909560576 = 24049762).

The spelling of 118038970624 in words is "one hundred eighteen billion, thirty-eight million, nine hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 109 128 197 218 256 394 436 788 872 1576 1744 3152 3488 6304 6976 11881 12608 13952 21473 23762 25216 27904 38809 42946 47524 50432 77618 85892 95048 155236 171784 190096 310472 343568 380192 620944 687136 760384 1241888 1374272 1520768 2340557 2483776 2748544 3041536 4230181 4681114 4967552 5497088 8460362 9362228 9935104 16920724 18724456 33841448 37448912 67682896 74897824 135365792 149795648 270731584 299591296 461089729 541463168 599182592 922179458 1082926336 1844358916 3688717832 7377435664 14754871328 29509742656 59019485312 118038970624