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80910917376 = 2831714514271
BaseRepresentation
bin100101101011010101…
…0101001111100000000
321201211211011110201120
41023112222221330000
52311201143324001
6101100413432240
75563022310252
oct1132652517400
9251754143646
1080910917376
1131350115863
1213820a9b680
137825a81793
143cb7b37cd2
152188455236
hex12d6aa9f00

80910917376 has 144 divisors (see below), whose sum is σ = 228218715648. Its totient is φ = 25360384000.

The previous prime is 80910917371. The next prime is 80910917389. The reversal of 80910917376 is 67371901908.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80910917371) by changing a digit.

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, 18942121 + ... + 18946391.

It is an arithmetic number, because the mean of its divisors is an integer number (1584852192).

Almost surely, 280910917376 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 80910917376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114109357824).

80910917376 is an abundant number, since it is smaller than the sum of its proper divisors (147307798272).

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

80910917376 is a wasteful number, since it uses less digits than its factorization.

80910917376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 80910917376 in words is "eighty billion, nine hundred ten million, nine hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1451 1632 2176 2902 3264 4271 4352 4353 5804 6528 8542 8706 11608 12813 13056 17084 17412 23216 24667 25626 34168 34824 46432 49334 51252 68336 69648 72607 74001 92864 98668 102504 136672 139296 145214 148002 185728 197336 205008 217821 273344 278592 290428 296004 371456 394672 410016 435642 546688 557184 580856 592008 789344 820032 871284 1093376 1114368 1161712 1184016 1578688 1640064 1742568 2323424 2368032 3157376 3280128 3485136 4646848 4736064 6197221 6314752 6970272 9293696 9472128 12394442 13940544 18587392 18591663 18944256 24788884 27881088 37183326 49577768 55762176 74366652 99155536 105352757 148733304 198311072 210705514 297466608 316058271 396622144 421411028 594933216 632116542 793244288 842822056 1189866432 1264233084 1586488576 1685644112 2379732864 2528466168 3371288224 4759465728 5056932336 6742576448 10113864672 13485152896 20227729344 26970305792 40455458688 80910917376