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14531603121516 = 22313533594895743
BaseRepresentation
bin1101001101110110011100…
…0010101100010101101100
31220110012121101222120200010
43103131213002230111230
53401041210344342031
650523420514533220
73026605446336435
oct323354702542554
956405541876603
1014531603121516
1146a2900140028
1217683a4597210
1381542a623610
143834949a448c
151a3001274246
hexd37670ac56c

14531603121516 has 96 divisors (see below), whose sum is σ = 37307919237120. Its totient is φ = 4374678387456.

The previous prime is 14531603121509. The next prime is 14531603121551. The reversal of 14531603121516 is 61512130613541.

It is a super-2 number, since 2×145316031215162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 520341 + ... + 5416083.

It is an arithmetic number, because the mean of its divisors is an integer number (388624158720).

Almost surely, 214531603121516 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 14531603121516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653959618560).

14531603121516 is an abundant number, since it is smaller than the sum of its proper divisors (22776316115604).

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

14531603121516 is a wasteful number, since it uses less digits than its factorization.

14531603121516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896175 (or 4896173 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 14531603121516 in words is "fourteen trillion, five hundred thirty-one billion, six hundred three million, one hundred twenty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 359 636 689 718 1077 1378 1436 2067 2154 2756 4134 4308 4667 8268 9334 14001 18668 19027 28002 38054 56004 57081 76108 114162 228324 247351 494702 742053 989404 1484106 2968212 4895743 9791486 14687229 19582972 29374458 58748916 63644659 127289318 190933977 254578636 259474379 381867954 518948758 763735908 778423137 1037897516 1556846274 1757571737 3113692548 3373166927 3515143474 5272715211 6746333854 7030286948 10119500781 10545430422 13492667708 20239001562 21090860844 22848432581 40478003124 45696865162 68545297743 91393730324 93151302061 137090595486 186302604122 274181190972 279453906183 372605208244 558907812366 1117815624732 1210966926793 2421933853586 3632900780379 4843867707172 7265801560758 14531603121516