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18000377442 = 2341992831973
BaseRepresentation
bin10000110000111001…
…111111011001100010
31201110110212220210000
4100300321333121202
5243331044034232
612134054320430
71205031453345
oct206071773142
951413786700
1018000377442
1176a781aaa3
1235a4359116
13190b333318
14c2a8c845c
1570543027c
hex430e7f662

18000377442 has 80 divisors (see below), whose sum is σ = 40700721600. Its totient is φ = 5945863968.

The previous prime is 18000377431. The next prime is 18000377513. The reversal of 18000377442 is 24477300081.

It is a happy number.

18000377442 is a `hidden beast` number, since 180 + 0 + 0 + 37 + 7 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18000377397 and 18000377406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9122368 + ... + 9124340.

It is an arithmetic number, because the mean of its divisors is an integer number (508759020).

Almost surely, 218000377442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18000377442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350360800).

18000377442 is an abundant number, since it is smaller than the sum of its proper divisors (22700344158).

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

18000377442 is a wasteful number, since it uses less digits than its factorization.

18000377442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 18000377442 in words is "eighteen billion, three hundred seventy-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 283 398 566 597 849 1194 1698 1791 1973 2547 3582 3946 5094 5373 5919 7641 10746 11838 15282 16119 17757 22923 32238 35514 45846 53271 56317 106542 112634 159813 168951 319626 337902 392627 506853 558359 785254 1013706 1116718 1177881 1520559 1675077 2355762 3041118 3350154 3533643 4561677 5025231 7067286 9123354 10050462 10600929 15075693 21201858 30151386 31802787 45227079 63605574 90454158 111113441 222226882 333340323 666680646 1000020969 2000041938 3000062907 6000125814 9000188721 18000377442