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1023324435152 = 242929358712823
BaseRepresentation
bin11101110010000101110…
…00111011001011010000
310121211101020110111102122
432321002320323023100
5113231232023411102
62102035254033412
7133634635115465
oct16710270731320
93554336414378
101023324435152
11364a97a69288
121463b1348868
137566462c866
143775a06966c
151b9442b00a2
hexee42e3b2d0

1023324435152 has 80 divisors (see below), whose sum is σ = 2061726791040. Its totient is φ = 491455566336.

The previous prime is 1023324435149. The next prime is 1023324435209. The reversal of 1023324435152 is 2515344233201.

1023324435152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79797413 + ... + 79810235.

It is an arithmetic number, because the mean of its divisors is an integer number (25771584888).

Almost surely, 21023324435152 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 1023324435152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030863395520).

1023324435152 is an abundant number, since it is smaller than the sum of its proper divisors (1038402355888).

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

1023324435152 is a wasteful number, since it uses less digits than its factorization.

1023324435152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 1023324435152 its reverse (2515344233201), we get a palindrome (3538668668353).

The spelling of 1023324435152 in words is "one trillion, twenty-three billion, three hundred twenty-four million, four hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 293 464 586 587 1172 1174 2344 2348 4688 4696 8497 9392 12823 16994 17023 25646 33988 34046 51292 67976 68092 102584 135952 136184 171991 205168 272368 343982 371867 687964 743734 1375928 1487468 2751856 2974936 3757139 4987739 5949872 7514278 7527101 9975478 15028556 15054202 19950956 30057112 30108404 39901912 60114224 60216808 79803824 108957031 120433616 217914062 218285929 435828124 436571858 871656248 873143716 1743312496 1746287432 2205440593 3492574864 4410881186 8821762372 17643524744 35287049488 63957777197 127915554394 255831108788 511662217576 1023324435152