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1020323555504 = 241161191497579
BaseRepresentation
bin11101101100100000000…
…01011110100010110000
310121112122002210000102222
432312100001132202300
5113204110312234004
62100421414500212
7133500366060311
oct16662001364260
93545562700388
101020323555504
11363798057a60
121458b4364668
13752a69cab26
14375536b4608
151b81aae57be
hexed9005e8b0

1020323555504 has 80 divisors (see below), whose sum is σ = 2203427543040. Its totient is φ = 453791136000.

The previous prime is 1020323555483. The next prime is 1020323555533. The reversal of 1020323555504 is 4055553230201.

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 15 ways as a sum of consecutive naturals, for example, 1801787 + ... + 2299365.

It is an arithmetic number, because the mean of its divisors is an integer number (27542844288).

Almost surely, 21020323555504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020323555504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101713771520).

1020323555504 is an abundant number, since it is smaller than the sum of its proper divisors (1183103987536).

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

1020323555504 is a wasteful number, since it uses less digits than its factorization.

1020323555504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497850 (or 497844 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 1020323555504 its reverse (4055553230201), we get a palindrome (5075876785705).

The spelling of 1020323555504 in words is "one trillion, twenty billion, three hundred twenty-three million, five hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 191 244 382 488 671 764 976 1342 1528 2101 2684 3056 4202 5368 8404 10736 11651 16808 23302 33616 46604 93208 128161 186416 256322 497579 512644 995158 1025288 1990316 2050576 3980632 5473369 7961264 10946738 21893476 30352319 43786952 60704638 87573904 95037589 121409276 190075178 242818552 333875509 380150356 485637104 667751018 760300712 1045413479 1335502036 1520601424 2090826958 2671004072 4181653916 5342008144 5797292929 8363307832 11594585858 16726615664 23189171716 46378343432 63770222219 92756686864 127540444438 255080888876 510161777752 1020323555504