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98793002240 = 285314357901
BaseRepresentation
bin101110000000010000…
…1011001010100000000
3100110000001110111120222
41130000201121110000
53104312002032430
6113215044522212
710065116443412
oct1340041312400
9313001414528
1098793002240
113899708a899
12171916b0368
13941573809a
144ad2a2c9b2
1528832ba9e5
hex1700859500

98793002240 has 144 divisors (see below), whose sum is σ = 249958765056. Its totient is φ = 37352448000.

The previous prime is 98793002239. The next prime is 98793002257. The reversal of 98793002240 is 4220039789.

It is a junction number, because it is equal to n+sod(n) for n = 98793002191 and 98793002200.

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, 1677290 + ... + 1735190.

Almost surely, 298793002240 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 98793002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124979382528).

98793002240 is an abundant number, since it is smaller than the sum of its proper divisors (151165762816).

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

98793002240 is a wasteful number, since it uses less digits than its factorization.

98793002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57996 (or 57982 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 98793002240 in words is "ninety-eight billion, seven hundred ninety-three million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 80 86 124 128 155 160 172 215 248 256 310 320 344 430 496 620 640 688 860 992 1240 1280 1333 1376 1720 1984 2480 2666 2752 3440 3968 4960 5332 5504 6665 6880 7936 9920 10664 11008 13330 13760 19840 21328 26660 27520 39680 42656 53320 55040 57901 85312 106640 115802 170624 213280 231604 289505 341248 426560 463208 579010 853120 926416 1158020 1706240 1794931 1852832 2316040 2489743 3589862 3705664 4632080 4979486 7179724 7411328 8974655 9264160 9958972 12448715 14359448 14822656 17949310 18528320 19917944 24897430 28718896 35898620 37056640 39835888 49794860 57437792 71797240 74113280 77182033 79671776 99589720 114875584 143594480 154364066 159343552 199179440 229751168 287188960 308728132 318687104 385910165 398358880 459502336 574377920 617456264 637374208 771820330 796717760 1148755840 1234912528 1543640660 1593435520 2297511680 2469825056 3087281320 3186871040 4939650112 6174562640 9879300224 12349125280 19758600448 24698250560 49396501120 98793002240