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1669214907456 = 26331882131793
BaseRepresentation
bin11000010010100100111…
…101100010110001000000
312220120112110100002100020
4120102210331202301000
5204322023004014311
63314454324253440
7231411462416115
oct30224475426100
95816473302306
101669214907456
11593a01331948
1222b608841280
13c1538809c95
145ab0cd3890c
152d647d14c06
hex184a4f62c40

1669214907456 has 112 divisors (see below), whose sum is σ = 4559591275008. Its totient is φ = 538378444800.

The previous prime is 1669214907433. The next prime is 1669214907473. The reversal of 1669214907456 is 6547094129661.

It is a self number, because there is not a number n which added to its sum of digits gives 1669214907456.

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, 52486696 + ... + 52518488.

It is an arithmetic number, because the mean of its divisors is an integer number (40710636384).

Almost surely, 21669214907456 is an apocalyptic number.

1669214907456 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 1669214907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279795637504).

1669214907456 is an abundant number, since it is smaller than the sum of its proper divisors (2890376367552).

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

1669214907456 is a wasteful number, since it uses less digits than its factorization.

1669214907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40660 (or 40650 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1669214907456 in words is "one trillion, six hundred sixty-nine billion, two hundred fourteen million, nine hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 8821 17642 26463 31793 35284 52926 63586 70568 95379 105852 127172 141136 190758 211704 254344 273451 282272 381516 423408 508688 546902 564544 763032 820353 846816 985583 1017376 1093804 1526064 1640706 1693632 1971166 2034752 2187608 2956749 3052128 3281412 3942332 4375216 5913498 6104256 6562824 7884664 8750432 11826996 13125648 15769328 17500864 23653992 26251296 31538656 47307984 52502592 63077312 94615968 189231936 280446053 560892106 841338159 1121784212 1682676318 2243568424 3365352636 4487136848 6730705272 8693827643 8974273696 13461410544 17387655286 17948547392 26081482929 26922821088 34775310572 52162965858 53845642176 69550621144 104325931716 139101242288 208651863432 278202484576 417303726864 556404969152 834607453728 1669214907456