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87381367020 = 2232512730712451
BaseRepresentation
bin101000101100001010…
…1011101100011101100
322100112202110100222200
41101120111131203230
52412424112221040
6104050433541500
76212251236033
oct1213025354354
9270482410880
1087381367020
113407055a402
1214b27a14890
1383174571cc
14432d20971a
15241651a630
hex145855d8ec

87381367020 has 144 divisors (see below), whose sum is σ = 268035575808. Its totient is φ = 23041065600.

The previous prime is 87381367019. The next prime is 87381367027. The reversal of 87381367020 is 2076318378.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87381367027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7011795 + ... + 7024245.

Almost surely, 287381367020 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 87381367020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134017787904).

87381367020 is an abundant number, since it is smaller than the sum of its proper divisors (180654208788).

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

87381367020 is a wasteful number, since it uses less digits than its factorization.

87381367020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12900 (or 12895 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 87381367020 in words is "eighty-seven billion, three hundred eighty-one million, three hundred sixty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 307 381 508 614 635 762 921 1143 1228 1270 1524 1535 1842 1905 2286 2540 2763 3070 3684 3810 4572 4605 5526 5715 6140 7620 9210 11052 11430 12451 13815 18420 22860 24902 27630 37353 38989 49804 55260 62255 74706 77978 112059 116967 124510 149412 155956 186765 194945 224118 233934 249020 350901 373530 389890 448236 467868 560295 584835 701802 747060 779780 1120590 1169670 1403604 1581277 1754505 2241180 2339340 3162554 3509010 3822457 4743831 6325108 7018020 7644914 7906385 9487662 11467371 14231493 15289828 15812770 18975324 19112285 22934742 23719155 28462986 31625540 34402113 38224570 45869484 47438310 56925972 57336855 68804226 71157465 76449140 94876620 114673710 137608452 142314930 172010565 229347420 284629860 344021130 485452039 688042260 970904078 1456356117 1941808156 2427260195 2912712234 4369068351 4854520390 5825424468 7281780585 8738136702 9709040780 14563561170 17476273404 21845341755 29127122340 43690683510 87381367020