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996452004672 = 26328292086793
BaseRepresentation
bin11101000000000010010…
…10101111001101000000
310112021000110020120212200
432200001022233031000
5112311213203122142
62041432544353200
7131664003201225
oct16400112571500
93467013216780
10996452004672
113546581a7553
12141151915800
1372c711c6417
143632b15394c
151adc002864c
hexe8012af340

996452004672 has 84 divisors (see below), whose sum is σ = 2859596422020. Its totient is φ = 331749844992.

The previous prime is 996452004659. The next prime is 996452004683. The reversal of 996452004672 is 276400254699.

996452004672 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 520 + 0 + 46 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 696997898496 + 299454106176 = 834864^2 + 547224^2 .

It is a super-2 number, since 2×9964520046722 (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 11 ways as a sum of consecutive naturals, for example, 565893 + ... + 1520900.

Almost surely, 2996452004672 is an apocalyptic number.

It is an amenable number.

996452004672 is an abundant number, since it is smaller than the sum of its proper divisors (1863144417348).

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

996452004672 is a wasteful number, since it uses less digits than its factorization.

996452004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087640 (or 2087627 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 996452004672 in words is "nine hundred ninety-six billion, four hundred fifty-two million, four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 26528 29844 39792 53056 59688 79584 119376 159168 238752 477504 2086793 4173586 6260379 8347172 12520758 16694344 18781137 25041516 33388688 37562274 50083032 66777376 75124548 100166064 133554752 150249096 200332128 300498192 400664256 600996384 1201992768 1729951397 3459902794 5189854191 6919805588 10379708382 13839611176 15569562573 20759416764 27679222352 31139125146 41518833528 55358444704 62278250292 83037667056 110716889408 124556500584 166075334112 249113001168 332150668224 498226002336 996452004672