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13466225448 = 23321314996557
BaseRepresentation
bin11001000101010011…
…00100101100101000
31021202111002010112200
430202221210230220
5210034323203243
610104123540200
7654464012334
oct144251445450
937674063480
1013466225448
115790373545
12273998a660
131367b5ca50
1491a64c7c4
1553c347ad3
hex322a64b28

13466225448 has 96 divisors (see below), whose sum is σ = 39540501000. Its totient is φ = 4115602944.

The previous prime is 13466225407. The next prime is 13466225489. The reversal of 13466225448 is 84452266431.

13466225448 is a `hidden beast` number, since 1 + 3 + 46 + 62 + 2 + 544 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13466225407) and next prime (13466225489).

It can be written as a sum of positive squares in 4 ways, for example, as 3602160324 + 9864065124 = 60018^2 + 99318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91186 + ... + 187742.

Almost surely, 213466225448 is an apocalyptic number.

13466225448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13466225448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770250500).

13466225448 is an abundant number, since it is smaller than the sum of its proper divisors (26074275552).

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

13466225448 is a wasteful number, since it uses less digits than its factorization.

13466225448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96731 (or 96724 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 13466225448 in words is "thirteen billion, four hundred sixty-six million, two hundred twenty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 149 156 234 298 312 447 468 596 894 936 1192 1341 1788 1937 2682 3576 3874 5364 5811 7748 10728 11622 15496 17433 23244 34866 46488 69732 96557 139464 193114 289671 386228 579342 772456 869013 1158684 1255241 1738026 2317368 2510482 3476052 3765723 5020964 6952104 7531446 10041928 11297169 14386993 15062892 22594338 28773986 30125784 43160979 45188676 57547972 86321958 90377352 115095944 129482937 172643916 187030909 258965874 345287832 374061818 517931748 561092727 748123636 1035863496 1122185454 1496247272 1683278181 2244370908 3366556362 4488741816 6733112724 13466225448