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11270794896 = 24369832
BaseRepresentation
bin10100111111100101…
…01010111010010000
31002002110222201000000
422133302222322100
5141040310414041
65102220130000
7546205114224
oct123762527220
932073881000
1011270794896
114864085029
122226696900
1310a806b20a
1478cc40784
1545e72ebb6
hex29fcaae90

11270794896 has 105 divisors (see below), whose sum is σ = 32774111059. Its totient is φ = 3753109728.

The previous prime is 11270794883. The next prime is 11270794897. The reversal of 11270794896 is 69849707211.

The square root of 11270794896 is 106164.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11270794897) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11465221 + ... + 11466203.

Almost surely, 211270794896 is an apocalyptic number.

11270794896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11270794896 is the 106164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11270794896

11270794896 is an abundant number, since it is smaller than the sum of its proper divisors (21503316163).

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

11270794896 is an frugal number, since it uses more digits than its factorization.

11270794896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11270794896 in words is "eleven billion, two hundred seventy million, seven hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 983 1296 1458 1944 1966 2916 2949 3888 3932 5832 5898 7864 8847 11664 11796 15728 17694 23592 26541 35388 47184 53082 70776 79623 106164 141552 159246 212328 238869 318492 424656 477738 636984 716607 955476 966289 1273968 1433214 1910952 1932578 2866428 2898867 3821904 3865156 5732856 5797734 7730312 8696601 11465712 11595468 15460624 17393202 23190936 26089803 34786404 46381872 52179606 69572808 78269409 104359212 139145616 156538818 208718424 234808227 313077636 417436848 469616454 626155272 704424681 939232908 1252310544 1408849362 1878465816 2817698724 3756931632 5635397448 11270794896