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80966102560 = 2557231333139
BaseRepresentation
bin100101101100111110…
…1001010111000100000
321201222200000011120021
41023121331022320200
52311304310240220
6101110104323224
75564262342100
oct1133175127040
9251880004507
1080966102560
1131379288252
1213837473514
137834334035
143cc11c1200
15218d2064aa
hex12d9f4ae20

80966102560 has 144 divisors (see below), whose sum is σ = 229690702080. Its totient is φ = 26864248320.

The previous prime is 80966102533. The next prime is 80966102573. The reversal of 80966102560 is 6520166908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76471 + ... + 409609.

It is an arithmetic number, because the mean of its divisors is an integer number (1595074320).

Almost surely, 280966102560 is an apocalyptic number.

80966102560 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 80966102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114845351040).

80966102560 is an abundant number, since it is smaller than the sum of its proper divisors (148724599520).

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

80966102560 is a wasteful number, since it uses less digits than its factorization.

80966102560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333199 (or 333184 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 80966102560 in words is "eighty billion, nine hundred sixty-six million, one hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 992 1085 1120 1240 1519 1568 1736 1960 2170 2480 3038 3472 3920 4340 4960 6076 6944 7595 7840 8680 12152 15190 17360 24304 30380 34720 48608 60760 121520 243040 333139 666278 1332556 1665695 2331973 2665112 3331390 4663946 5330224 6662780 9327892 10327309 10660448 11659865 13325560 16323811 18655784 20654618 23319730 26651120 32647622 37311568 41309236 46639460 51636545 53302240 65295244 72291163 74623136 81619055 82618472 93278920 103273090 130590488 144582326 163238110 165236944 186557840 206546180 261180976 289164652 326476220 330473888 361455815 373115680 413092360 506038141 522361952 578329304 652952440 722911630 826184720 1012076282 1156658608 1305904880 1445823260 1652369440 2024152564 2313317216 2530190705 2611809760 2891646520 4048305128 5060381410 5783293040 8096610256 10120762820 11566586080 16193220512 20241525640 40483051280 80966102560