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12154364442 = 2341110167531
BaseRepresentation
bin10110101000111010…
…01110001000011010
31011101001120200120000
423110131032020122
5144343004130232
65330022113430
7610124251563
oct132435161032
934331520500
1012154364442
1151779049a0
12243257b876
1311b913112c
1483432116a
154b20b327c
hex2d474e21a

12154364442 has 80 divisors (see below), whose sum is σ = 30005277984. Its totient is φ = 3646620000.

The previous prime is 12154364423. The next prime is 12154364449. The reversal of 12154364442 is 24446345121.

12154364442 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 4 + 3 + 644 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12154364397 and 12154364406.

It is not an unprimeable number, because it can be changed into a prime (12154364449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146217 + ... + 213747.

Almost surely, 212154364442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12154364442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002638992).

12154364442 is an abundant number, since it is smaller than the sum of its proper divisors (17850913542).

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

12154364442 is a wasteful number, since it uses less digits than its factorization.

12154364442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67657 (or 67648 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 12154364442 in words is "twelve billion, one hundred fifty-four million, three hundred sixty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 101 162 198 202 297 303 594 606 891 909 1111 1782 1818 2222 2727 3333 5454 6666 8181 9999 16362 19998 29997 59994 67531 89991 135062 179982 202593 405186 607779 742841 1215558 1485682 1823337 2228523 3646674 4457046 5470011 6685569 6820631 10940022 13371138 13641262 20056707 20461893 40113414 40923786 60170121 61385679 75026941 120340242 122771358 150053882 184157037 225080823 368314074 450161646 552471111 675242469 1104942222 1350484938 2025727407 4051454814 6077182221 12154364442