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13672765372 = 22721729141499
BaseRepresentation
bin11001011101111010…
…11101011110111100
31022021212201110001111
430232331131132330
5211000211442442
610140422451404
7662552405500
oct145675353674
938255643044
1013672765372
115886a12aa2
122796b93b64
13139b896a16
14939c54300
15550544b17
hex32ef5d7bc

13672765372 has 72 divisors (see below), whose sum is σ = 30487590000. Its totient is φ = 5324852736.

The previous prime is 13672765307. The next prime is 13672765373. The reversal of 13672765372 is 27356727631.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13672765373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25879 + ... + 167377.

It is an arithmetic number, because the mean of its divisors is an integer number (423438750).

Almost surely, 213672765372 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 13672765372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243795000).

13672765372 is an abundant number, since it is smaller than the sum of its proper divisors (16814824628).

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

13672765372 is a wasteful number, since it uses less digits than its factorization.

13672765372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141563 (or 141554 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 49.

The spelling of 13672765372 in words is "thirteen billion, six hundred seventy-two million, seven hundred sixty-five thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 29 34 49 58 68 98 116 119 196 203 238 406 476 493 812 833 986 1421 1666 1972 2842 3332 3451 5684 6902 13804 24157 48314 96628 141499 282998 565996 990493 1980986 2405483 3961972 4103471 4810966 6933451 8206942 9621932 13866902 16413884 16838381 27733804 28724297 33676762 57448594 67353524 69759007 114897188 117868667 139518014 201070079 235737334 279036028 402140158 471474668 488313049 804280316 976626098 1953252196 3418191343 6836382686 13672765372