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11797632056 = 2373147144593
BaseRepresentation
bin10101111110011000…
…11001010000111000
31010110012022210201102
422333030121100320
5143130143211211
65230400110532
7565233134510
oct127714312070
933405283642
1011797632056
115004501641
122353005448
13116025b792
147dcbc0840
15490ae9a3b
hex2bf319438

11797632056 has 64 divisors (see below), whose sum is σ = 26651566080. Its totient is φ = 4788887040.

The previous prime is 11797632053. The next prime is 11797632073. The reversal of 11797632056 is 65023679711.

It is a happy number.

11797632056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 11797632056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11797632053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9296 + ... + 153888.

It is an arithmetic number, because the mean of its divisors is an integer number (416430720).

Almost surely, 211797632056 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 11797632056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325783040).

11797632056 is an abundant number, since it is smaller than the sum of its proper divisors (14853934024).

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

11797632056 is a wasteful number, since it uses less digits than its factorization.

11797632056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144684 (or 144680 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 11797632056 in words is "eleven billion, seven hundred ninety-seven million, six hundred thirty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 329 376 434 658 868 1316 1457 1736 2632 2914 5828 10199 11656 20398 40796 81592 144593 289186 578372 1012151 1156744 2024302 4048604 4482383 6795871 8097208 8964766 13591742 17929532 27183484 31376681 35859064 47571097 54366968 62753362 95142194 125506724 190284388 210672001 251013448 380568776 421344002 842688004 1474704007 1685376008 2949408014 5898816028 11797632056