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80677333776 = 243131371576011
BaseRepresentation
bin100101100100010111…
…1100110101100010000
321201020112122012021010
41023020233212230100
52310211344140101
6101021311130520
75554155010434
oct1131057465420
9251215565233
1080677333776
1131240284a66
1213776813a40
1377b9569330
143c94ad29c4
152172bb52d6
hex12c8be6b10

80677333776 has 160 divisors (see below), whose sum is σ = 227564684928. Its totient is φ = 24481566720.

The previous prime is 80677333753. The next prime is 80677333777. The reversal of 80677333776 is 67733377608.

It is a super-2 number, since 2×806773337762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80677333777) 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 31 ways as a sum of consecutive naturals, for example, 13418611 + ... + 13424621.

Almost surely, 280677333776 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 80677333776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113782342464).

80677333776 is an abundant number, since it is smaller than the sum of its proper divisors (146887351152).

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

80677333776 is a wasteful number, since it uses less digits than its factorization.

80677333776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 57.

The spelling of 80677333776 in words is "eighty billion, six hundred seventy-seven million, three hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 157 208 274 312 314 411 471 548 624 628 822 942 1096 1256 1644 1781 1884 2041 2192 2512 3288 3562 3768 4082 5343 6011 6123 6576 7124 7536 8164 10686 12022 12246 14248 16328 18033 21372 21509 24044 24492 28496 32656 36066 42744 43018 48088 48984 64527 72132 78143 85488 86036 96176 97968 129054 144264 156286 172072 234429 258108 279617 288528 312572 344144 468858 516216 559234 625144 823507 838851 937716 943727 1032432 1118468 1250288 1647014 1677702 1875432 1887454 2236936 2470521 2831181 3294028 3355404 3750864 3774908 4473872 4941042 5662362 6588056 6710808 7549816 9882084 10705591 11324724 12268451 13176112 13421616 15099632 19764168 21411182 22649448 24536902 32116773 36805353 39528336 42822364 45298896 49073804 64233546 73610706 85644728 98147608 128467092 129290599 147221412 171289456 196295216 256934184 258581198 294442824 387871797 513868368 517162396 588885648 775743594 1034324792 1551487188 1680777787 2068649584 3102974376 3361555574 5042333361 6205948752 6723111148 10084666722 13446222296 20169333444 26892444592 40338666888 80677333776