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11453666440 = 23511319113267
BaseRepresentation
bin10101010101011000…
…10001010010001000
31002120020002112121011
422222230101102020
5141424114311230
65132311453304
7553555362346
oct125254212210
932506075534
1011453666440
114948329137
122277987234
131106c09128
147a9244996
15470803e2a
hex2aab11488

11453666440 has 64 divisors (see below), whose sum is σ = 26136898560. Its totient is φ = 4516807680.

The previous prime is 11453666437. The next prime is 11453666447. The reversal of 11453666440 is 4466635411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11453666393 and 11453666402.

It is not an unprimeable number, because it can be changed into a prime (11453666447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856687 + ... + 869953.

It is an arithmetic number, because the mean of its divisors is an integer number (408389040).

Almost surely, 211453666440 is an apocalyptic number.

11453666440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11453666440 is an abundant number, since it is smaller than the sum of its proper divisors (14683232120).

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

11453666440 is a wasteful number, since it uses less digits than its factorization.

11453666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 11453666440 in words is "eleven billion, four hundred fifty-three million, six hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 191 226 382 452 565 764 904 955 1130 1528 1910 2260 3820 4520 7640 13267 21583 26534 43166 53068 66335 86332 106136 107915 132670 172664 215830 265340 431660 530680 863320 1499171 2533997 2998342 5067994 5996684 7495855 10135988 11993368 12669985 14991710 20271976 25339970 29983420 50679940 59966840 101359880 286341661 572683322 1145366644 1431708305 2290733288 2863416610 5726833220 11453666440