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9981469736088 = 23341139173421831
BaseRepresentation
bin1001000100111111110111…
…1101010011110010011000
31022100012220210021022110120
42101033331331103302120
52302014022223023323
633121231321113240
72050065060610254
oct221177575236230
938305823238416
109981469736088
1131a91324a4524
121152586028820
13575330107a16
1426716a10d264
151249932445e3
hex913fdf53c98

9981469736088 has 128 divisors (see below), whose sum is σ = 25895085350400. Its totient is φ = 3204018201600.

The previous prime is 9981469736087. The next prime is 9981469736089. The reversal of 9981469736088 is 8806379641899.

It is an interprime number because it is at equal distance from previous prime (9981469736087) and next prime (9981469736089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9981469736087) 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, 23451333 + ... + 23873163.

It is an arithmetic number, because the mean of its divisors is an integer number (202305354300).

Almost surely, 29981469736088 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 9981469736088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947542675200).

9981469736088 is an abundant number, since it is smaller than the sum of its proper divisors (15913615614312).

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

9981469736088 is a wasteful number, since it uses less digits than its factorization.

9981469736088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422193 (or 422189 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 78.

The spelling of 9981469736088 in words is "nine trillion, nine hundred eighty-one billion, four hundred sixty-nine million, seven hundred thirty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 139 164 173 246 278 328 346 417 492 519 556 692 834 984 1038 1112 1384 1668 2076 3336 4152 5699 7093 11398 14186 17097 21279 22796 24047 28372 34194 42558 45592 48094 56744 68388 72141 85116 96188 136776 144282 170232 192376 288564 421831 577128 843662 985927 1265493 1687324 1971854 2530986 2957781 3374648 3943708 5061972 5915562 7887416 10123944 11831124 17295071 23662248 34590142 51885213 58634509 69180284 72976763 103770426 117269018 138360568 145953526 175903527 207540852 218930289 234538036 291907052 351807054 415081704 437860578 469076072 583814104 703614108 875721156 1407228216 1751442312 2404014869 2992047283 4808029738 5984094566 7212044607 8976141849 9616059476 10143770057 11968189132 14424089214 17952283698 19232118952 20287540114 23936378264 28848178428 30431310171 35904567396 40575080228 57696356856 60862620342 71809134792 81150160456 121725240684 243450481368 415894572337 831789144674 1247683717011 1663578289348 2495367434022 3327156578696 4990734868044 9981469736088