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13011632016450 = 2352234191987501
BaseRepresentation
bin1011110101011000000110…
…1101000100110001000010
31201001220022000012012002120
42331112001231010301002
53201140310244011300
643401243343025110
72512026241200654
oct275260155046102
951056260165076
1013011632016450
114167225073931
1215618a929b196
13734cb780b3a2
1432daa2c146d4
151786e096a3a0
hexbd581b44c42

13011632016450 has 96 divisors (see below), whose sum is σ = 34493105549952. Its totient is φ = 3237960000000.

The previous prime is 13011632016443. The next prime is 13011632016451. The reversal of 13011632016450 is 5461023611031.

It is a happy number.

It is a super-3 number, since 3×130116320164503 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13011632016451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45852301 + ... + 46135200.

It is an arithmetic number, because the mean of its divisors is an integer number (359303182812).

Almost surely, 213011632016450 is an apocalyptic number.

13011632016450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13011632016450 is an abundant number, since it is smaller than the sum of its proper divisors (21481473533502).

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

13011632016450 is a wasteful number, since it uses less digits than its factorization.

13011632016450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91987580 (or 91987575 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 13011632016450 its reverse (5461023611031), we get a palindrome (18472655627481).

The spelling of 13011632016450 in words is "thirteen trillion, eleven billion, six hundred thirty-two million, sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 41 46 50 69 75 82 115 123 138 150 205 230 246 345 410 575 615 690 943 1025 1150 1230 1725 1886 2050 2829 3075 3450 4715 5658 6150 9430 14145 23575 28290 47150 70725 141450 91987501 183975002 275962503 459937505 551925006 919875010 1379812515 2115712523 2299687525 2759625030 3771487541 4231425046 4599375050 6347137569 6899062575 7542975082 10578562615 11314462623 12694275138 13798125150 18857437705 21157125230 22628925246 31735687845 37714875410 52892813075 56572313115 63471375690 86744213443 94287188525 105785626150 113144626230 158678439225 173488426886 188574377050 260232640329 282861565575 317356878450 433721067215 520465280658 565723131150 867442134430 1301163201645 2168605336075 2602326403290 4337210672150 6505816008225 13011632016450