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13875137626376 = 23131137271624019
BaseRepresentation
bin1100100111101000111010…
…1001100100000100001000
31211010110011012100011121002
43021322032221210010020
53304312240213021001
645302052241034132
72631305562603545
oct311721651440410
954113135304532
1013875137626376
11446a45a514274
121681117625948
1379855c596b30
1435d7bb44bbcc
15190dce12946b
hexc9e8ea64108

13875137626376 has 64 divisors (see below), whose sum is σ = 28303940246400. Its totient is φ = 6338503277568.

The previous prime is 13875137626373. The next prime is 13875137626379. The reversal of 13875137626376 is 67362673157831.

It is an interprime number because it is at equal distance from previous prime (13875137626373) and next prime (13875137626379).

It is not an unprimeable number, because it can be changed into a prime (13875137626373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7731695 + ... + 9355713.

It is an arithmetic number, because the mean of its divisors is an integer number (442249066350).

Almost surely, 213875137626376 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 13875137626376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151970123200).

13875137626376 is an abundant number, since it is smaller than the sum of its proper divisors (14428802620024).

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

13875137626376 is a wasteful number, since it uses less digits than its factorization.

13875137626376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624878 (or 1624874 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 65.

The spelling of 13875137626376 in words is "thirteen trillion, eight hundred seventy-five billion, one hundred thirty-seven million, six hundred twenty-six thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 727 904 1454 1469 2908 2938 5816 5876 9451 11752 18902 37804 75608 82151 164302 328604 657208 1067963 1624019 2135926 3248038 4271852 6496076 8543704 12992152 21112247 42224494 84448988 168897976 183514147 367028294 734056588 1180661813 1468113176 2361323626 2385683911 4722647252 4771367822 9445294504 9542735644 15348603569 19085471288 30697207138 61394414276 122788828552 133414784869 266829569738 533659139476 1067318278952 1734392203297 3468784406594 6937568813188 13875137626376