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1445525036416 = 2743598743867
BaseRepresentation
bin10101000010010000000…
…000011001110110000000
312010012011010101021002201
4111002100000121312000
5142140413402131131
63024022014122544
7206302313035516
oct25022000316600
95105133337081
101445525036416
1150805321aa2a
121b419b4b0454
13a640a527a46
144dd6c8aa4b6
1527904c0e761
hex15090019d80

1445525036416 has 64 divisors (see below), whose sum is σ = 2947287372480. Its totient is φ = 705820082688.

The previous prime is 1445525036393. The next prime is 1445525036471. The reversal of 1445525036416 is 6146305255441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14455250364162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32930515 + ... + 32974381.

It is an arithmetic number, because the mean of its divisors is an integer number (46051365195).

Almost surely, 21445525036416 is an apocalyptic number.

1445525036416 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 1445525036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473643686240).

1445525036416 is an abundant number, since it is smaller than the sum of its proper divisors (1501762336064).

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

1445525036416 is an equidigital number, since it uses as much as digits as its factorization.

1445525036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49911 (or 49899 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 1445525036416 in words is "one trillion, four hundred forty-five billion, five hundred twenty-five million, thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 5987 11974 23948 43867 47896 87734 95792 175468 191584 257441 350936 383168 514882 701872 766336 1029764 1403744 1886281 2059528 2807488 3772562 4119056 5614976 7545124 8238112 15090248 16476224 30180496 32952448 60360992 120721984 241443968 262631729 525263458 1050526916 2101053832 4202107664 8404215328 11293164347 16808430656 22586328694 33616861312 45172657388 90345314776 180690629552 361381259104 722762518208 1445525036416