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42465162402450 = 23252839112475599
BaseRepresentation
bin10011010011111001100001…
…11010111001101010010010
312120100122000011220020212100
421221330300322321222102
521031222123033334300
6230152120513541230
711642002211531364
oct1151746072715222
9176318004806770
1042465162402450
1112592413125717
12491a048b74816
131a905a85a8048
14a6b479478d34
154d993a17b700
hex269f30eb9a92

42465162402450 has 72 divisors (see below), whose sum is σ = 114225720336000. Its totient is φ = 11310546134880.

The previous prime is 42465162402427. The next prime is 42465162402457. The reversal of 42465162402450 is 5420426156424.

42465162402450 is a `hidden beast` number, since 4 + 2 + 46 + 5 + 162 + 402 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42465162402396 and 42465162402405.

It is not an unprimeable number, because it can be changed into a prime (42465162402457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55860250 + ... + 56615349.

It is an arithmetic number, because the mean of its divisors is an integer number (1586468338000).

Almost surely, 242465162402450 is an apocalyptic number.

42465162402450 is an abundant number, since it is smaller than the sum of its proper divisors (71760557933550).

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

42465162402450 is a wasteful number, since it uses less digits than its factorization.

42465162402450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112476456 (or 112476448 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 42465162402450 its reverse (5420426156424), we get a palindrome (47885588558874).

The spelling of 42465162402450 in words is "forty-two trillion, four hundred sixty-five billion, one hundred sixty-two million, four hundred two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 839 1678 2517 4195 5034 7551 8390 12585 15102 20975 25170 37755 41950 62925 75510 125850 188775 377550 112475599 224951198 337426797 562377995 674853594 1012280391 1124755990 1687133985 2024560782 2811889975 3374267970 5061401955 5623779950 8435669925 10122803910 16871339850 25307009775 50614019550 94367027561 188734055122 283101082683 471835137805 566202165366 849303248049 943670275610 1415505413415 1698606496098 2359175689025 2831010826830 4246516240245 4718351378050 7077527067075 8493032480490 14155054134150 21232581201225 42465162402450