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18604912144 = 2471383153953
BaseRepresentation
bin10001010100111100…
…000110111000010000
31210000121102110111011
4101110330012320100
5301100324142034
612314051500304
71226022100240
oct212474067020
953017373434
1018604912144
117987a95955
1237328b7694
1319a6658c70
14c86cd1b20
1573d546864
hex454f06e10

18604912144 has 80 divisors (see below), whose sum is σ = 44900376192. Its totient is φ = 7271460864.

The previous prime is 18604912141. The next prime is 18604912153. The reversal of 18604912144 is 44121940681.

It is a happy number.

It is a super-3 number, since 3×186049121443 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 18604912097 and 18604912106.

It is not an unprimeable number, because it can be changed into a prime (18604912141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43872 + ... + 197824.

Almost surely, 218604912144 is an apocalyptic number.

18604912144 is a gapful number since it is divisible by the number (14) 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 18604912144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450188096).

18604912144 is an abundant number, since it is smaller than the sum of its proper divisors (26295464048).

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

18604912144 is a wasteful number, since it uses less digits than its factorization.

18604912144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154064 (or 154058 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 18604912144 in words is "eighteen billion, six hundred four million, nine hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 581 664 728 1079 1162 1328 1456 2158 2324 4316 4648 7553 8632 9296 15106 17264 30212 60424 120848 153953 307906 615812 1077671 1231624 2001389 2155342 2463248 4002778 4310684 8005556 8621368 12778099 14009723 16011112 17242736 25556198 28019446 32022224 51112396 56038892 89446693 102224792 112077784 166115287 178893386 204449584 224155568 332230574 357786772 664461148 715573544 1162807009 1328922296 1431147088 2325614018 2657844592 4651228036 9302456072 18604912144