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245141295126 = 237213246725999
BaseRepresentation
bin1110010001001110001…
…1110101000000010110
3212102202022121002000220
43210103203311000112
513004022132421001
6304341044415210
723465554425300
oct3442343650026
9772668532026
10245141295126
1194a66963382
123b6153a7506
131a1695a1cb0
14bc17410970
15659b4c2c36
hex39138f5016

245141295126 has 96 divisors (see below), whose sum is σ = 614472768000. Its totient is φ = 64623956544.

The previous prime is 245141295107. The next prime is 245141295173. The reversal of 245141295126 is 621592141542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 9415875 + ... + 9441873.

It is an arithmetic number, because the mean of its divisors is an integer number (6400758000).

Almost surely, 2245141295126 is an apocalyptic number.

245141295126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245141295126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307236384000).

245141295126 is an abundant number, since it is smaller than the sum of its proper divisors (369331472874).

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

245141295126 is a wasteful number, since it uses less digits than its factorization.

245141295126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28498 (or 28491 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 245141295126 in words is "two hundred forty-five billion, one hundred forty-one million, two hundred ninety-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 2467 3822 4934 7401 14802 17269 25999 32071 34538 51807 51998 64142 77997 96213 103614 120883 155994 181993 192426 224497 241766 337987 362649 363986 448994 545979 673491 675974 725298 1013961 1091958 1273951 1346982 1571479 2027922 2365909 2547902 3142958 3821853 4714437 4731818 7097727 7643706 9428874 14195454 16561363 33122726 49684089 64139533 99368178 128279066 192418599 384837198 448976731 833813929 897953462 1346930193 1667627858 2501441787 2693860386 3142837117 5002883574 5836697503 6285674234 9428511351 11673395006 17510092509 18857022702 35020185018 40856882521 81713765042 122570647563 245141295126