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42553121031460 = 22513239837238969
BaseRepresentation
bin10011010110011101010111…
…01010011100010100100100
312120200001001011120120102201
421223032223222130110210
521034142242441001320
6230300344532344244
711651235002535124
oct1153165352342444
9176601034516381
1042553121031460
111261674a512546
1249330b6175084
131a989854c93a0
14a718211ccc84
154dbd871c270a
hex26b3aba9c524

42553121031460 has 96 divisors (see below), whose sum is σ = 100521843125760. Its totient is φ = 15013503808512.

The previous prime is 42553121031457. The next prime is 42553121031521. The reversal of 42553121031460 is 6413012135524.

42553121031460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 2258856 + ... + 9497824.

It is an arithmetic number, because the mean of its divisors is an integer number (1047102532560).

Almost surely, 242553121031460 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 42553121031460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50260921562880).

42553121031460 is an abundant number, since it is smaller than the sum of its proper divisors (57968722094300).

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

42553121031460 is a wasteful number, since it uses less digits than its factorization.

42553121031460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239997 (or 7239995 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 42553121031460 its reverse (6413012135524), we get a palindrome (48966133166984).

The spelling of 42553121031460 in words is "forty-two trillion, five hundred fifty-three billion, one hundred twenty-one million, thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 983 1196 1495 1966 2990 3932 4915 5980 9830 12779 19660 22609 25558 45218 51116 63895 90436 113045 127790 226090 255580 293917 452180 587834 1175668 1469585 2939170 5878340 7238969 14477938 28955876 36194845 72389690 94106597 144779380 166496287 188213194 332992574 376426388 470532985 665985148 832481435 941065970 1664962870 1882131940 2164451731 3329925740 4328903462 7115906527 8657806924 10822258655 14231813054 21644517310 28463626108 35579532635 43289034620 71159065270 92506784851 142318130540 163665850121 185013569702 327331700242 370027139404 462533924255 654663400484 818329250605 925067848510 1636658501210 1850135697020 2127656051573 3273317002420 4255312103146 8510624206292 10638280257865 21276560515730 42553121031460