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13503053004 = 22379712713049
BaseRepresentation
bin11001001001101100…
…00011110011001100
31021212001101011110020
430210312003303030
5210123240144004
610111521142140
7655422025320
oct144466036314
937761334406
1013503053004
1157aa137641
12274a18a950
1313726855bc
149214b7980
155406be8d9
hex324d83ccc

13503053004 has 96 divisors (see below), whose sum is σ = 36668620800. Its totient is φ = 3787886592.

The previous prime is 13503052973. The next prime is 13503053009. The reversal of 13503053004 is 40035030531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13503053009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028272 + ... + 1041320.

It is an arithmetic number, because the mean of its divisors is an integer number (381964800).

Almost surely, 213503053004 is an apocalyptic number.

13503053004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13503053004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18334310400).

13503053004 is an abundant number, since it is smaller than the sum of its proper divisors (23165567796).

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

13503053004 is a wasteful number, since it uses less digits than its factorization.

13503053004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13287 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 13503053004 its reverse (40035030531), we get a palindrome (53538083535).

The spelling of 13503053004 in words is "thirteen billion, five hundred three million, fifty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 127 194 254 291 381 388 508 582 679 762 889 1164 1358 1524 1778 2037 2667 2716 3556 4074 5334 8148 10668 12319 13049 24638 26098 36957 39147 49276 52196 73914 78294 86233 91343 147828 156588 172466 182686 258699 274029 344932 365372 517398 548058 1034796 1096116 1265753 1657223 2531506 3314446 3797259 4971669 5063012 6628892 7594518 8860271 9943338 11600561 15189036 17720542 19886676 23201122 26580813 34801683 35441084 46402244 53161626 69603366 106323252 139206732 160750631 321501262 482251893 643002524 964503786 1125254417 1929007572 2250508834 3375763251 4501017668 6751526502 13503053004