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80960728512 = 2638311344959
BaseRepresentation
bin100101101100110100…
…0101010110111000000
321201222021220010202110
41023121220222313000
52311301421303022
6101105353215320
75564165560236
oct1133150526700
9251867803673
1080960728512
1131376247694
1213835701540
1378331a1c21
143cc05c2956
15218c9e400c
hex12d9a2adc0

80960728512 has 112 divisors (see below), whose sum is σ = 218712775680. Its totient is φ = 26425233408.

The previous prime is 80960728507. The next prime is 80960728529. The reversal of 80960728512 is 21582706908.

It is a super-2 number, since 2×809607285122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1778289 + ... + 1823247.

It is an arithmetic number, because the mean of its divisors is an integer number (1952792640).

Almost surely, 280960728512 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 80960728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109356387840).

80960728512 is an abundant number, since it is smaller than the sum of its proper divisors (137752047168).

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

80960728512 is a wasteful number, since it uses less digits than its factorization.

80960728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45170 (or 45160 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 80960728512 in words is "eighty billion, nine hundred sixty million, seven hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 113 166 192 226 249 332 339 452 498 664 678 904 996 1328 1356 1808 1992 2656 2712 3616 3984 5312 5424 7232 7968 9379 10848 15936 18758 21696 28137 37516 44959 56274 75032 89918 112548 134877 150064 179836 225096 269754 300128 359672 450192 539508 600256 719344 900384 1079016 1438688 1800768 2158032 2877376 3731597 4316064 5080367 7463194 8632128 10160734 11194791 14926388 15241101 20321468 22389582 29852776 30482202 40642936 44779164 59705552 60964404 81285872 89558328 119411104 121928808 162571744 179116656 238822208 243857616 325143488 358233312 421670461 487715232 716466624 843340922 975430464 1265011383 1686681844 2530022766 3373363688 5060045532 6746727376 10120091064 13493454752 20240182128 26986909504 40480364256 80960728512