Search a number
-
+
13402489728 = 273313111509
BaseRepresentation
bin11000111101101100…
…11100001110000000
31021121001011000120110
430132312130032000
5204422014132403
610053525511320
7653061166035
oct143666341600
937531130513
1013402489728
1157583a09a1
122720572540
1313578a55c4
14911dbb38c
15536958103
hex31ed9c380

13402489728 has 64 divisors (see below), whose sum is σ = 35714422800. Its totient is φ = 4453183488.

The previous prime is 13402489717. The next prime is 13402489739. The reversal of 13402489728 is 82798420431.

It is an interprime number because it is at equal distance from previous prime (13402489717) and next prime (13402489739).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64438 + ... + 175946.

Almost surely, 213402489728 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 13402489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857211400).

13402489728 is an abundant number, since it is smaller than the sum of its proper divisors (22311933072).

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

13402489728 is a wasteful number, since it uses less digits than its factorization.

13402489728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111839 (or 111827 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13402489728 in words is "thirteen billion, four hundred two million, four hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 939 1252 1878 2504 3756 5008 7512 10016 15024 20032 30048 40064 60096 111509 120192 223018 334527 446036 669054 892072 1338108 1784144 2676216 3568288 5352432 7136576 10704864 14273152 21409728 34902317 42819456 69804634 104706951 139609268 209413902 279218536 418827804 558437072 837655608 1116874144 1675311216 2233748288 3350622432 4467496576 6701244864 13402489728