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2025978842016 = 25333177397107
BaseRepresentation
bin11101011110110101101…
…111111100101110100000
321011200101221121202121000
4131132311233330232200
5231143201040421031
64150415525432000
7266241434006163
oct35366557745640
97150357552530
102025978842016
1171123826a358
1228879426b600
1311908380a53c
14700b4c37ada
1537a78aa23e6
hex1d7b5bfcba0

2025978842016 has 96 divisors (see below), whose sum is σ = 5927746466880. Its totient is φ = 673195822848.

The previous prime is 2025978841981. The next prime is 2025978842047. The reversal of 2025978842016 is 6102488795202.

2025978842016 is a `hidden beast` number, since 2 + 0 + 2 + 597 + 8 + 8 + 42 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3424666 + ... + 3972441.

It is an arithmetic number, because the mean of its divisors is an integer number (61747359030).

Almost surely, 22025978842016 is an apocalyptic number.

It is an amenable number.

2025978842016 is an abundant number, since it is smaller than the sum of its proper divisors (3901767624864).

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

2025978842016 is a wasteful number, since it uses less digits than its factorization.

2025978842016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397443 (or 7397429 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2025978842016 in words is "two trillion, twenty-five billion, nine hundred seventy-eight million, eight hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 317 432 634 864 951 1268 1902 2536 2853 3804 5072 5706 7608 8559 10144 11412 15216 17118 22824 30432 34236 45648 68472 91296 136944 273888 7397107 14794214 22191321 29588428 44382642 59176856 66573963 88765284 118353712 133147926 177530568 199721889 236707424 266295852 355061136 399443778 532591704 710122272 798887556 1065183408 1597775112 2130366816 2344882919 3195550224 4689765838 6391100448 7034648757 9379531676 14069297514 18759063352 21103946271 28138595028 37518126704 42207892542 56277190056 63311838813 75036253408 84415785084 112554380112 126623677626 168831570168 225108760224 253247355252 337663140336 506494710504 675326280672 1012989421008 2025978842016