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11453461305432 = 2338311514995421
BaseRepresentation
bin1010011010101011011101…
…1111100001100001011000
31111112221101102002202100120
42212222313133201201120
53000123142043233212
640205351505033240
72261325306526506
oct246526737414130
944487342082316
1011453461305432
113716427352363
12134b911025820
13651097941123
142b84c9a33676
1514cde675e88c
hexa6ab77e1858

11453461305432 has 64 divisors (see below), whose sum is σ = 29003819765760. Its totient is φ = 3768544848000.

The previous prime is 11453461305379. The next prime is 11453461305469. The reversal of 11453461305432 is 23450316435411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204919 + ... + 4790502.

It is an arithmetic number, because the mean of its divisors is an integer number (453184683840).

Almost surely, 211453461305432 is an apocalyptic number.

11453461305432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11453461305432 is an abundant number, since it is smaller than the sum of its proper divisors (17550358460328).

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

11453461305432 is a wasteful number, since it uses less digits than its factorization.

11453461305432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996664 (or 4996660 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 11453461305432 in words is "eleven trillion, four hundred fifty-three billion, four hundred sixty-one million, three hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1151 1992 2302 3453 4604 6906 9208 13812 27624 95533 191066 286599 382132 573198 764264 1146396 2292792 4995421 9990842 14986263 19981684 29972526 39963368 59945052 119890104 414619943 829239886 1243859829 1658479772 2487719658 3316959544 4975439316 5749729571 9950878632 11499459142 17249188713 22998918284 34498377426 45997836568 68996754852 137993509704 477227554393 954455108786 1431682663179 1908910217572 2863365326358 3817820435144 5726730652716 11453461305432