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133776677004928 = 2741531880325579
BaseRepresentation
bin11110011010101101001111…
…010011111110011010000000
3122112122220222122002101200021
4132122231033103332122000
5120013244113303124203
61152304053525103224
740115021523446446
oct3632551723763200
9575586878071607
10133776677004928
1139697408689261
1213006996557b14
1359851180b3049
142506b7ba90b96
15106ec8976c5bd
hex79ab4f4fe680

133776677004928 has 128 divisors (see below), whose sum is σ = 278185195108800. Its totient is φ = 64019745054720.

The previous prime is 133776677004857. The next prime is 133776677004941. The reversal of 133776677004928 is 829400776677331.

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, 5229928843 + ... + 5229954421.

Almost surely, 2133776677004928 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 133776677004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139092597554400).

133776677004928 is an abundant number, since it is smaller than the sum of its proper divisors (144408518103872).

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

133776677004928 is a wasteful number, since it uses less digits than its factorization.

133776677004928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44490 (or 44478 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 70.

The spelling of 133776677004928 in words is "one hundred thirty-three trillion, seven hundred seventy-six billion, six hundred seventy-seven million, four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 5248 6784 8692 17384 18803 25579 34768 37606 51158 69536 75212 102316 139072 150424 204632 278144 300848 409264 601696 770923 818528 996559 1048739 1203392 1355687 1541846 1637056 1993118 2097478 2406784 2711374 3083692 3274112 3986236 4194956 5422748 6167384 7972472 8389912 10845496 12334768 15944944 16779824 21690992 24669536 31889888 33559648 40858919 43381984 49339072 55583167 63779776 67119296 81717838 86763968 98678144 111166334 127559552 134238592 163435676 173527936 222332668 326871352 444665336 480961937 653742704 889330672 961923874 1307485408 1778661344 1923847748 2614970816 3557322688 3847695496 5229941632 7114645376 7695390992 15390781984 19719439417 25490982661 30781563968 39438878834 50981965322 61563127936 78877757668 101963930644 157755515336 203927861288 315511030672 407855722576 631022061344 815711445152 1045130289101 1262044122688 1631422890304 2090260578202 2524088245376 3262845780608 4180521156404 8361042312808 16722084625616 33444169251232 66888338502464 133776677004928