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9987948497900 = 22527318121533511
BaseRepresentation
bin1001000101011000000000…
…0111110100101111101100
31022100211122022012111212202
42101112000013310233230
52302120304303413100
633124222235321032
72050414450305542
oct221260007645754
938324568174782
109987948497900
1132009575a612a
1211538938b0178
13575b234309a9
142675c2745d92
15124c21dec7d5
hex915801f4bec

9987948497900 has 144 divisors (see below), whose sum is σ = 22108691911488. Its totient is φ = 3915744768000.

The previous prime is 9987948497861. The next prime is 9987948497957. The reversal of 9987948497900 is 97948497899.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2844757145 + ... + 2844760655.

Almost surely, 29987948497900 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 9987948497900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11054345955744).

9987948497900 is an abundant number, since it is smaller than the sum of its proper divisors (12120743413588).

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

9987948497900 is a wasteful number, since it uses less digits than its factorization.

9987948497900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 83.

The spelling of 9987948497900 in words is "nine trillion, nine hundred eighty-seven billion, nine hundred forty-eight million, four hundred ninety-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 181 292 362 365 724 730 905 1460 1810 1825 2153 3511 3620 3650 4306 4525 7022 7300 8612 9050 10765 13213 14044 17555 18100 21530 26426 35110 43060 52852 53825 66065 70220 87775 107650 132130 157169 175550 215300 256303 264260 314338 330325 351100 389693 512606 628676 635491 660650 779386 785845 1025212 1270982 1281515 1321300 1558772 1571690 1948465 2541964 2563030 3143380 3177455 3896930 3929225 5126060 6354910 6407575 7559183 7793860 7858450 9742325 12709820 12815150 15118366 15716900 15887275 19484650 25630300 28447589 30236732 31774550 37795915 38969300 46390843 56895178 63549100 75591830 92781686 113790356 142237945 151183660 185563372 188979575 231954215 284475890 377959150 463908430 551820359 568951780 711189725 755918300 927816860 1103640718 1159771075 1368212123 1422379450 2207281436 2319542150 2736424246 2759101795 2844758900 4639084300 5472848492 5518203590 6841060615 11036407180 13682121230 13795508975 27364242460 27591017950 34205303075 55182035900 68410606150 99879484979 136821212300 199758969958 399517939916 499397424895 998794849790 1997589699580 2496987124475 4993974248950 9987948497900