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80683105408 = 27171913114897
BaseRepresentation
bin100101100100100010…
…1100111110010000000
321201020221111102110021
41023021011213302000
52310214333333113
6101022034543224
75554255036363
oct1131105476200
9251227442407
1080683105408
1131243567304
1213778737b14
1377ba80a3b9
143c957960da
15217345548d
hex12c9167c80

80683105408 has 128 divisors (see below), whose sum is σ = 180528004800. Its totient is φ = 35693199360.

The previous prime is 80683105339. The next prime is 80683105411. The reversal of 80683105408 is 80450138608.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5408616 + ... + 5423512.

Almost surely, 280683105408 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 80683105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90264002400).

80683105408 is an abundant number, since it is smaller than the sum of its proper divisors (99844899392).

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

80683105408 is a wasteful number, since it uses less digits than its factorization.

80683105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078 (or 15066 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 80683105408 in words is "eighty billion, six hundred eighty-three million, one hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 131 136 152 262 272 304 323 524 544 608 646 1048 1088 1216 1292 2096 2176 2227 2432 2489 2584 4192 4454 4978 5168 8384 8908 9956 10336 14897 16768 17816 19912 20672 29794 35632 39824 41344 42313 59588 71264 79648 84626 119176 142528 159296 169252 238352 253249 283043 285056 318592 338504 476704 506498 566086 677008 953408 1012996 1132172 1354016 1906816 1951507 2025992 2264344 2708032 3903014 4051984 4528688 4811731 5416064 7806028 8103968 9057376 9623462 15612056 16207936 18114752 19246924 31224112 32415872 33175619 36229504 37078633 38493848 62448224 66351238 74157266 76987696 124896448 132702476 148314532 153975392 249792896 265404952 296629064 307950784 530809904 593258128 615901568 630336761 1061619808 1186516256 1260673522 2123239616 2373032512 2521347044 4246479232 4746065024 5042694088 10085388176 20170776352 40341552704 80683105408