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13993414452 = 22322396717477
BaseRepresentation
bin11010000100001001…
…01000111100110100
31100010020002002220100
431002010220330310
5212124303230302
610232315234100
71003525026453
oct150204507464
940106062810
1013993414452
115a30a10436
122866448930
1314201444c4
1496a680b9a
1556d781d1c
hex342128f34

13993414452 has 72 divisors (see below), whose sum is σ = 36950449536. Its totient is φ = 4456799424.

The previous prime is 13993414451. The next prime is 13993414453. The reversal of 13993414452 is 25441439931.

It is an interprime number because it is at equal distance from previous prime (13993414451) and next prime (13993414453).

It is a junction number, because it is equal to n+sod(n) for n = 13993414398 and 13993414407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13993414451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791938 + ... + 809414.

It is an arithmetic number, because the mean of its divisors is an integer number (513200688).

Almost surely, 213993414452 is an apocalyptic number.

13993414452 is a gapful number since it is divisible by the number (12) 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 13993414452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18475224768).

13993414452 is an abundant number, since it is smaller than the sum of its proper divisors (22957035084).

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

13993414452 is a wasteful number, since it uses less digits than its factorization.

13993414452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477 (or 18472 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 13993414452 in words is "thirteen billion, nine hundred ninety-three million, four hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 967 1934 2901 3868 5802 8703 11604 17406 17477 22241 34812 34954 44482 52431 66723 69908 88964 104862 133446 157293 200169 209724 266892 314586 400338 401971 629172 800676 803942 1205913 1607884 2411826 3617739 4823652 7235478 14470956 16900259 33800518 50700777 67601036 101401554 152102331 202803108 304204662 388705957 608409324 777411914 1166117871 1554823828 2332235742 3498353613 4664471484 6996707226 13993414452