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1356144465632 = 25115839659819
BaseRepresentation
bin10011101111000000100…
…000100101011011100000
311210122110001001211010012
4103233000200211123200
5134204340440400012
62515000522224052
7166656344522165
oct23570040453340
94718401054105
101356144465632
11483157218210
1219a9b6055028
139ab64b44a38
14498cdd7206c
1525422e3c622
hex13bc08256e0

1356144465632 has 48 divisors (see below), whose sum is σ = 2913131692800. Its totient is φ = 616322797440.

The previous prime is 1356144465617. The next prime is 1356144465653. The reversal of 1356144465632 is 2365644416531.

It is a happy number.

It is a super-4 number, since 4×13561444656324 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725419 + ... + 2385237.

It is an arithmetic number, because the mean of its divisors is an integer number (60690243600).

Almost surely, 21356144465632 is an apocalyptic number.

It is an amenable number.

1356144465632 is an abundant number, since it is smaller than the sum of its proper divisors (1556987227168).

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

1356144465632 is a wasteful number, since it uses less digits than its factorization.

1356144465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665679 (or 665671 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 50.

The spelling of 1356144465632 in words is "one trillion, three hundred fifty-six billion, one hundred forty-four million, four hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 5839 11678 23356 46712 64229 93424 128458 186848 256916 513832 659819 1027664 1319638 2055328 2639276 5278552 7258009 10557104 14516018 21114208 29032036 58064072 116128144 232256288 3852683141 7705366282 15410732564 30821465128 42379514551 61642930256 84759029102 123285860512 169518058204 339036116408 678072232816 1356144465632