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1004198480256 = 2739041289249
BaseRepresentation
bin11101001110011101110…
…01001100100110000000
310120000000022121022122210
432213032321030212000
5112423044302332011
62045153350302120
7132356655150156
oct16471671144600
93500008538583
101004198480256
11357972954294
12142754057940
137390706189a
1436863ca53d6
151b1c51456a6
hexe9cee4c980

1004198480256 has 64 divisors (see below), whose sum is σ = 2667706470000. Its totient is φ = 334694645760.

The previous prime is 1004198480249. The next prime is 1004198480303. The reversal of 1004198480256 is 6520848914001.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3327120 + ... + 3616368.

Almost surely, 21004198480256 is an apocalyptic number.

1004198480256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004198480256 is an abundant number, since it is smaller than the sum of its proper divisors (1663507989744).

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

1004198480256 is an equidigital number, since it uses as much as digits as its factorization.

1004198480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298307 (or 298295 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1004198480256 in words is "one trillion, four billion, one hundred ninety-eight million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 9041 18082 27123 36164 54246 72328 108492 144656 216984 289249 289312 433968 578498 578624 867747 867936 1156996 1157248 1735494 1735872 2313992 3470988 3471744 4627984 6941976 9255968 13883952 18511936 27767904 37023872 55535808 111071616 2615100209 5230200418 7845300627 10460400836 15690601254 20920801672 31381202508 41841603344 62762405016 83683206688 125524810032 167366413376 251049620064 334732826752 502099240128 1004198480256