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245031417507513 = 371323292814788803
BaseRepresentation
bin110111101101101011010010…
…100110010110111010111001
31012010120202220210020221102110
4313231223102212112322321
5224104043320340220023
62225045513524322533
7102416635643503350
oct6755532246267271
91163522823227373
10245031417507513
117109027125531a
1223594891b43449
13a695495881220
14447182627c997
151d4dc697a8a93
hexdedad2996eb9

245031417507513 has 128 divisors (see below), whose sum is σ = 435598806343680. Its totient is φ = 118940049930240.

The previous prime is 245031417507479. The next prime is 245031417507553. The reversal of 245031417507513 is 315705714130542.

It is a happy number.

It is not a de Polignac number, because 245031417507513 - 28 = 245031417507257 is a prime.

It is a super-2 number, since 2×2450314175075132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245031417507553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48773170 + ... + 53561972.

It is an arithmetic number, because the mean of its divisors is an integer number (3403115674560).

Almost surely, 2245031417507513 is an apocalyptic number.

245031417507513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

245031417507513 is a deficient number, since it is larger than the sum of its proper divisors (190567388836167).

245031417507513 is a wasteful number, since it uses less digits than its factorization.

245031417507513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789159.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 245031417507513 in words is "two hundred forty-five trillion, thirty-one billion, four hundred seventeen million, five hundred seven thousand, five hundred thirteen".

Divisors: 1 3 7 13 21 23 29 39 69 87 91 161 203 273 281 299 377 483 609 667 843 897 1131 1967 2001 2093 2639 3653 4669 5901 6279 6463 7917 8149 8671 10959 14007 19389 24447 25571 26013 45241 57043 60697 76713 84019 105937 135723 171129 182091 187427 252057 317811 562281 588133 741559 1311989 1764399 2224677 2436551 3935967 4788803 7309653 14366409 17055857 33521621 51167571 62254439 100564863 110142469 138875287 186763317 330427407 416625861 435781073 770997283 972127009 1307343219 1345653643 1431852097 1805378731 2312991849 2916381027 3194131601 4036960929 4295556291 5416136193 9419575501 9582394803 10022964679 12637651117 17493497359 22358921207 28258726503 30068894037 30950033789 37912953351 39023955647 41523710813 52480492077 67076763621 92850101367 117071866941 122454481513 124571132439 216650236523 273167689529 290665975691 367363444539 402350439257 507311423411 649950709569 819503068587 871997927073 897550979881 1207051317771 1521934270233 2692652939643 2816453074799 3551179963877 6282856859167 8449359224397 10653539891631 11668162738453 18848570577501 35004488215359 81677139169171 245031417507513