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90242688984 = 23376156315641
BaseRepresentation
bin101010000001011100…
…0100010011111011000
322121221011112120211020
41110002320202133120
52434304112021414
6105242410002440
76343204125420
oct1240270423730
9277834476736
1090242688984
11352a97109a8
12155a6116420
1386821a5026
144521233480
1525328197a9
hex1502e227d8

90242688984 has 128 divisors (see below), whose sum is σ = 262545338880. Its totient is φ = 25314278400.

The previous prime is 90242688937. The next prime is 90242688997. The reversal of 90242688984 is 48988624209.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5761804 + ... + 5777444.

It is an arithmetic number, because the mean of its divisors is an integer number (2051135460).

Almost surely, 290242688984 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 90242688984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131272669440).

90242688984 is an abundant number, since it is smaller than the sum of its proper divisors (172302649896).

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

90242688984 is a wasteful number, since it uses less digits than its factorization.

90242688984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16281 (or 16277 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 90242688984 in words is "ninety billion, two hundred forty-two million, six hundred eighty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 563 732 854 1126 1281 1464 1689 1708 2252 2562 3378 3416 3941 4504 5124 6756 7882 10248 11823 13512 15641 15764 23646 31282 31528 34343 46923 47292 62564 68686 93846 94584 103029 109487 125128 137372 187692 206058 218974 240401 274744 328461 375384 412116 437948 480802 656922 721203 824232 875896 954101 961604 1313844 1442406 1908202 1923208 2627688 2862303 2884812 3816404 5724606 5769624 6678707 7632808 8805883 11449212 13357414 17611766 20036121 22898424 26417649 26714828 35223532 40072242 52835298 53429656 61641181 70447064 80144484 105670596 123282362 160288968 184923543 211341192 246564724 369847086 493129448 537158863 739694172 1074317726 1479388344 1611476589 2148635452 3222953178 3760112041 4297270904 6445906356 7520224082 11280336123 12891812712 15040448164 22560672246 30080896328 45121344492 90242688984