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87850747920 = 24351351135507
BaseRepresentation
bin101000111010001010…
…0000000100000010000
322101202110200101112110
41101310110000200100
52414404242413140
6104205202225320
76230011015335
oct1216424004020
9271673611473
1087850747920
1134291503201
1215039055240
13839077b5a0
1443756b098c
152442836380
hex1474500810

87850747920 has 160 divisors (see below), whose sum is σ = 293396971392. Its totient is φ = 21616644096.

The previous prime is 87850747913. The next prime is 87850747939. The reversal of 87850747920 is 2974705878.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15949807 + ... + 15955313.

Almost surely, 287850747920 is an apocalyptic number.

87850747920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87850747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146698485696).

87850747920 is an abundant number, since it is smaller than the sum of its proper divisors (205546223472).

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

87850747920 is a wasteful number, since it uses less digits than its factorization.

87850747920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 87850747920 in words is "eighty-seven billion, eight hundred fifty million, seven hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 5113 5507 10226 11014 15339 16521 20452 22028 25565 27535 30678 33042 40904 44056 51130 55070 61356 66084 66469 71591 76695 81808 82605 88112 102260 110140 122712 132168 132938 143182 153390 165210 199407 204520 214773 220280 245424 264336 265876 286364 306780 330420 332345 357955 398814 409040 429546 440560 531752 572728 613560 660840 664690 715910 797628 859092 997035 1063504 1073865 1145456 1227120 1321680 1329380 1431820 1595256 1718184 1994070 2147730 2658760 2863640 3190512 3436368 3988140 4295460 5317520 5727280 7976280 8590920 15952560 17181840 28157291 56314582 84471873 112629164 140786455 168943746 225258328 281572910 337887492 366044783 422359365 450516656 563145820 675774984 732089566 844718730 1098134349 1126291640 1351549968 1464179132 1689437460 1830223915 2196268698 2252583280 2928358264 3378874920 3660447830 4392537396 5490671745 5856716528 6757749840 7320895660 8785074792 10981343490 14641791320 17570149584 21962686980 29283582640 43925373960 87850747920