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13873106044 = 2271937897919
BaseRepresentation
bin11001110101110011…
…01100110001111100
31022210211200210210101
430322321230301330
5211403003343134
610212340450444
71000534312210
oct147271546174
938724623711
1013873106044
11597a0089a6
1228320a9a24
1314012400b5
149586c4940
15562e19e14
hex33ae6cc7c

13873106044 has 96 divisors (see below), whose sum is σ = 30336768000. Its totient is φ = 5418192384.

The previous prime is 13873105919. The next prime is 13873106057. The reversal of 13873106044 is 44060137831.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 13873105994 and 13873106012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747917 + ... + 1755835.

It is an arithmetic number, because the mean of its divisors is an integer number (316008000).

Almost surely, 213873106044 is an apocalyptic number.

13873106044 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 13873106044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384000).

13873106044 is an abundant number, since it is smaller than the sum of its proper divisors (16463661956).

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

13873106044 is a wasteful number, since it uses less digits than its factorization.

13873106044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 13873106044 in words is "thirteen billion, eight hundred seventy-three million, one hundred six thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 89 133 148 178 259 266 356 518 532 623 703 1036 1246 1406 1691 2492 2812 3293 3382 4921 6586 6764 7919 9842 11837 13172 15838 19684 23051 23674 31676 46102 47348 55433 62567 92204 110866 125134 150461 221732 250268 293003 300922 437969 586006 601844 704791 875938 1053227 1172012 1409582 1751876 2051021 2106454 2819164 4102042 4212908 4933537 5567057 8204084 9867074 11134114 13391029 19734148 22268228 26077267 26782058 38969399 52154534 53564116 77938798 93737203 104309068 155877596 182540869 187474406 365081738 374948812 495468073 730163476 990936146 1981872292 3468276511 6936553022 13873106044