Search a number
-
+
676987880960 = 295967273473
BaseRepresentation
bin10011101100111111001…
…11110100011000000000
32101201102110010121221202
421312133213310120000
542042432344142320
61235000503440332
766624251020316
oct11663747643000
92351373117852
10676987880960
11241122011aa6
12ab255a560a8
134babba26861
1424aa2d800b6
1512923ba1b75
hex9d9f9f4600

676987880960 has 80 divisors (see below), whose sum is σ = 1624868742816. Its totient is φ = 270514126848.

The previous prime is 676987880927. The next prime is 676987881001. The reversal of 676987880960 is 69088789676.

676987880960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6769878809602 (a number of 24 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, 2338784 + ... + 2612256.

Almost surely, 2676987880960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676987880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812434371408).

676987880960 is an abundant number, since it is smaller than the sum of its proper divisors (947880861856).

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

676987880960 is an equidigital number, since it uses as much as digits as its factorization.

676987880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274463 (or 274447 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 74.

The spelling of 676987880960 in words is "six hundred seventy-six billion, nine hundred eighty-seven million, eight hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 967 1280 1934 2560 3868 4835 7736 9670 15472 19340 30944 38680 61888 77360 123776 154720 247552 273473 309440 495104 546946 618880 1093892 1237760 1367365 2187784 2475520 2734730 4375568 5469460 8751136 10938920 17502272 21877840 35004544 43755680 70009088 87511360 140018176 175022720 264448391 350045440 528896782 700090880 1057793564 1322241955 2115587128 2644483910 4231174256 5288967820 8462348512 10577935640 16924697024 21155871280 33849394048 42311742560 67698788096 84623485120 135397576192 169246970240 338493940480 676987880960