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119172876416 = 2711316740751
BaseRepresentation
bin110111011111101000…
…0011100100010000000
3102101121100210101020122
41232333100130202000
53423031224021131
6130425224155412
711416133510246
oct1567720344200
9371540711218
10119172876416
11465a4a88a10
121b11a908b68
13b312a28829
145aa755a796
153177571d7b
hex1bbf41c880

119172876416 has 128 divisors (see below), whose sum is σ = 271349637120. Its totient is φ = 51638400000.

The previous prime is 119172876413. The next prime is 119172876463. The reversal of 119172876416 is 614678271911.

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

It is not an unprimeable number, because it can be changed into a prime (119172876413) 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, 2904041 + ... + 2944791.

It is an arithmetic number, because the mean of its divisors is an integer number (2119919040).

Almost surely, 2119172876416 is an apocalyptic number.

119172876416 is a gapful number since it is divisible by the number (16) 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 119172876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135674818560).

119172876416 is an abundant number, since it is smaller than the sum of its proper divisors (152176760704).

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

119172876416 is a wasteful number, since it uses less digits than its factorization.

119172876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40874 (or 40862 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 53.

The spelling of 119172876416 in words is "one hundred nineteen billion, one hundred seventy-two million, eight hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 67 88 124 128 134 176 248 268 341 352 496 536 682 704 737 992 1072 1364 1408 1474 1984 2077 2144 2728 2948 3968 4154 4288 5456 5896 8308 8576 10912 11792 16616 21824 22847 23584 33232 40751 43648 45694 47168 66464 81502 91388 94336 132928 163004 182776 265856 326008 365552 448261 652016 731104 896522 1263281 1304032 1462208 1793044 2526562 2608064 2730317 2924416 3586088 5053124 5216128 5460634 7172176 10106248 10921268 13896091 14344352 20212496 21842536 27792182 28688704 30033487 40424992 43685072 55584364 57377408 60066974 80849984 84639827 87370144 111168728 120133948 161699968 169279654 174740288 222337456 240267896 338559308 349480576 444674912 480535792 677118616 889349824 931038097 961071584 1354237232 1778699648 1862076194 1922143168 2708474464 3724152388 3844286336 5416948928 7448304776 10833897856 14896609552 29793219104 59586438208 119172876416