Search a number
-
+
98744539565144 = 23112959964967967
BaseRepresentation
bin10110011100111011000001…
…001101000100110001011000
3110221121212220202000102020102
4112130323001031010301120
5100420312304112041034
6550002340520314532
726541025512416264
oct2634730115046130
9427555822012212
1098744539565144
1129510362357560
12b0a942a612a48
13431375474b4a5
141a55392abd0a4
15b6388ab8797e
hex59cec1344c58

98744539565144 has 128 divisors (see below), whose sum is σ = 212508748800000. Its totient is φ = 42596608481280.

The previous prime is 98744539565143. The next prime is 98744539565153. The reversal of 98744539565144 is 44156593544789.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98744539565143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452796649 + ... + 1452864615.

It is an arithmetic number, because the mean of its divisors is an integer number (1660224600000).

Almost surely, 298744539565144 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 98744539565144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106254374400000).

98744539565144 is an abundant number, since it is smaller than the sum of its proper divisors (113764209234856).

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

98744539565144 is a wasteful number, since it uses less digits than its factorization.

98744539565144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77721 (or 77717 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 74.

The spelling of 98744539565144 in words is "ninety-eight trillion, seven hundred forty-four billion, five hundred thirty-nine million, five hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 59 88 116 118 232 236 319 472 638 649 1276 1298 1711 2552 2596 3422 5192 6844 9649 13688 18821 19298 37642 38596 67967 75284 77192 106139 135934 150568 212278 271868 279821 424556 543736 559642 569291 747637 849112 1119284 1138582 1495274 1971043 2238568 2277164 2990548 3078031 3942086 4010053 4554328 5981096 6156062 6262201 7884172 8020106 12312124 12524402 15768344 16040212 16509439 21681473 24624248 25048804 32080424 33018878 43362946 44110583 50097608 66037756 86725892 88221166 116291537 132075512 173451784 176442332 181603829 232583074 352884664 363207658 465166148 655813583 726415316 930332296 1279206907 1311627166 1452830632 2558413814 2623254332 5116827628 5246508664 7213949413 10233655256 14427898826 19018593907 28855797652 38037187814 38693001397 57711595304 76074375628 77386002794 152148751256 154772005588 209204532977 309544011176 418409065954 425623015367 836818131908 851246030734 1122097040513 1673636263816 1702492061468 2244194081026 3404984122936 4488388162052 8976776324104 12343067445643 24686134891286 49372269782572 98744539565144