Search a number
-
+
13457723670 = 2335142335027
BaseRepresentation
bin11001000100010010…
…01001000100010110
31021201220002012022000
430202021021010112
5210030134124140
610103221420130
7654331522656
oct144211110426
937656065260
1013457723670
115786596a86
122736b6a646
131366174101
14919478366
1553b718a30
hex322249116

13457723670 has 64 divisors (see below), whose sum is σ = 35913507840. Its totient is φ = 3586101984.

The previous prime is 13457723663. The next prime is 13457723677. The reversal of 13457723670 is 7632775431.

13457723670 is a `hidden beast` number, since 1 + 3 + 4 + 577 + 2 + 3 + 6 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (13457723663) and next prime (13457723677).

It is a super-2 number, since 2×134577236702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457723677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366697 + ... + 401723.

It is an arithmetic number, because the mean of its divisors is an integer number (561148560).

Almost surely, 213457723670 is an apocalyptic number.

13457723670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13457723670 is an abundant number, since it is smaller than the sum of its proper divisors (22455784170).

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

13457723670 is a wasteful number, since it uses less digits than its factorization.

13457723670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36466 (or 36460 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 13457723670 in words is "thirteen billion, four hundred fifty-seven million, seven hundred twenty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1423 2846 4269 7115 8538 12807 14230 21345 25614 35027 38421 42690 64035 70054 76842 105081 128070 175135 192105 210162 315243 350270 384210 525405 630486 945729 1050810 1576215 1891458 3152430 4728645 9457290 49843421 99686842 149530263 249217105 299060526 448590789 498434210 747651315 897181578 1345772367 1495302630 2242953945 2691544734 4485907890 6728861835 13457723670