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9987654320 = 2457223110777
BaseRepresentation
bin10010100110100111…
…11000001010110000
3221210001112102000222
421103103320022300
5130423314414240
64331022032212
7502334442500
oct112323701260
927701472028
109987654320
114265852576
121b28a18668
13c32287037
146aa66ba00
153d6c6eeb5
hex2534f82b0

9987654320 has 120 divisors (see below), whose sum is σ = 28187240544. Its totient is φ = 3275424768.

The previous prime is 9987654263. The next prime is 9987654329. The reversal of 9987654320 is 234567899.

It is a happy number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9987654329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34772 + ... + 145548.

Almost surely, 29987654320 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 9987654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093620272).

9987654320 is an abundant number, since it is smaller than the sum of its proper divisors (18199586224).

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

9987654320 is a wasteful number, since it uses less digits than its factorization.

9987654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110827 (or 110814 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The square root of 9987654320 is about 99938.2525362536. The cubic root of 9987654320 is about 2153.5477262172.

The spelling of 9987654320 in words is "nine billion, nine hundred eighty-seven million, six hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12880 18032 22540 45080 90160 110777 221554 443108 553885 775439 886216 1107770 1550878 1772432 2215540 2547871 3101756 3877195 4431080 5095742 5428073 6203512 7754390 8862160 10191484 10856146 12407024 12739355 15508780 17835097 20382968 21712292 25478710 27140365 31017560 35670194 40765936 43424584 50957420 54280730 62035120 71340388 86849168 89175485 101914840 108561460 124845679 142680776 178350970 203829680 217122920 249691358 285361552 356701940 434245840 499382716 624228395 713403880 998765432 1248456790 1426807760 1997530864 2496913580 4993827160 9987654320