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1812025968 = 243474012003
BaseRepresentation
bin110110000000001…
…0101001001110000
311200021122110022220
41230000111021300
512202334312333
6455450001040
762621652354
oct15400251160
94607573286
101812025968
1184a928a25
12426a16180
1322b540b1c
14132927464
15a91318b3
hex6c015270

1812025968 has 80 divisors (see below), whose sum is σ = 4794978816. Its totient is φ = 589388800.

The previous prime is 1812025939. The next prime is 1812025987. The reversal of 1812025968 is 8695202181.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903655 + ... + 905657.

Almost surely, 21812025968 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 1812025968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397489408).

1812025968 is an abundant number, since it is smaller than the sum of its proper divisors (2982952848).

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

1812025968 is a wasteful number, since it uses less digits than its factorization.

1812025968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 1812025968 is about 42567.8983272606. The cubic root of 1812025968 is about 1219.1434388824.

The spelling of 1812025968 in words is "one billion, eight hundred twelve million, twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 401 564 752 802 1128 1203 1604 2003 2256 2406 3208 4006 4812 6009 6416 8012 9624 12018 16024 18847 19248 24036 32048 37694 48072 56541 75388 94141 96144 113082 150776 188282 226164 282423 301552 376564 452328 564846 753128 803203 904656 1129692 1506256 1606406 2259384 2409609 3212812 4518768 4819218 6425624 9638436 12851248 19276872 37750541 38553744 75501082 113251623 151002164 226503246 302004328 453006492 604008656 906012984 1812025968