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1006059399424 = 28171455115887
BaseRepresentation
bin11101010001111011101…
…00000010100100000000
310120011211000020210211221
432220331310002210000
5112440402201240144
62050102144244424
7132454042540402
oct16507564024400
93504730223757
101006059399424
11358738337412
12142b93310714
1373b427610a1
143699d0b8b72
151b2836d3d84
hexea3dd02900

1006059399424 has 72 divisors (see below), whose sum is σ = 2126597614848. Its totient is φ = 473377382400.

The previous prime is 1006059399419. The next prime is 1006059399431. The reversal of 1006059399424 is 4249939506001.

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, 63318009 + ... + 63333895.

It is an arithmetic number, because the mean of its divisors is an integer number (29536077984).

Almost surely, 21006059399424 is an apocalyptic number.

It is an amenable number.

1006059399424 is an abundant number, since it is smaller than the sum of its proper divisors (1120538215424).

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

1006059399424 is a wasteful number, since it uses less digits than its factorization.

1006059399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30471 (or 30457 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 1006059399424 in words is "one trillion, six billion, fifty-nine million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 14551 15887 29102 31774 58204 63548 116408 127096 232816 247367 254192 270079 465632 494734 508384 540158 931264 989468 1016768 1080316 1862528 1978936 2033536 2160632 3725056 3957872 4067072 4321264 7915744 8642528 15831488 17285056 31662976 34570112 63325952 69140224 231171737 462343474 924686948 1849373896 3698747792 3929919529 7397495584 7859839058 14794991168 15719678116 29589982336 31439356232 59179964672 62878712464 125757424928 251514849856 503029699712 1006059399424