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11719361536 = 2101721992
BaseRepresentation
bin10101110101000011…
…10100010000000000
31010020202001020202021
422322201310100000
5143000124032121
65214522331224
7563262633541
oct127241642000
933222036667
1011719361536
114a74301863
122330959b14
131149c8566c
147d26484c8
15488cd8641
hex2ba874400

11719361536 has 99 divisors (see below), whose sum is σ = 25012102629. Its totient is φ = 5487280128.

The previous prime is 11719361509. The next prime is 11719361539. The reversal of 11719361536 is 63516391711.

The square root of 11719361536 is 108256.

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

It can be written as a sum of positive squares in only one way, i.e., 9124070400 + 2595291136 = 95520^2 + 50944^2 .

It is a super-2 number, since 2×117193615362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11719361492 and 11719361501.

It is not an unprimeable number, because it can be changed into a prime (11719361539) 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, 58891165 + ... + 58891363.

Almost surely, 211719361536 is an apocalyptic number.

11719361536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11719361536 is the 108256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11719361536

11719361536 is an abundant number, since it is smaller than the sum of its proper divisors (13292741093).

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

11719361536 is an frugal number, since it uses more digits than its factorization.

11719361536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 218 counting only the distinct ones).

The product of its digits is 102060, while the sum is 43.

The spelling of 11719361536 in words is "eleven billion, seven hundred nineteen million, three hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 199 256 272 289 398 512 544 578 796 1024 1088 1156 1592 2176 2312 3184 3383 4352 4624 6368 6766 8704 9248 12736 13532 17408 18496 25472 27064 36992 39601 50944 54128 57511 73984 79202 101888 108256 115022 147968 158404 203776 216512 230044 295936 316808 433024 460088 633616 673217 866048 920176 1267232 1346434 1732096 1840352 2534464 2692868 3464192 3680704 5068928 5385736 7361408 10137856 10771472 11444689 14722816 20275712 21542944 22889378 29445632 40551424 43085888 45778756 58891264 86171776 91557512 172343552 183115024 344687104 366230048 689374208 732460096 1464920192 2929840384 5859680768 11719361536