Search a number
-
+
790281296056 = 237194317273153
BaseRepresentation
bin10111000000000000110…
…11111001100010111000
32210112212001200102111201
423200000123321202320
5100421444002433211
61403014502503544
7111044623116130
oct13400033714270
92715761612451
10790281296056
1128517a20966a
121091b3734bb4
13596a563b795
142a36d707ac0
1515854e9b0c1
hexb8006f98b8

790281296056 has 64 divisors (see below), whose sum is σ = 1824045062400. Its totient is φ = 313404069888.

The previous prime is 790281296053. The next prime is 790281296081. The reversal of 790281296056 is 650692182097.

It is a super-2 number, since 2×7902812960562 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 790281295988 and 790281296006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790281296053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8590825 + ... + 8682328.

It is an arithmetic number, because the mean of its divisors is an integer number (28500704100).

Almost surely, 2790281296056 is an apocalyptic number.

790281296056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

790281296056 is an abundant number, since it is smaller than the sum of its proper divisors (1033763766344).

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

790281296056 is a wasteful number, since it uses less digits than its factorization.

790281296056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273228 (or 17273224 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 790281296056 in words is "seven hundred ninety billion, two hundred eighty-one million, two hundred ninety-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 76 86 133 152 172 266 301 344 532 602 817 1064 1204 1634 2408 3268 5719 6536 11438 22876 45752 17273153 34546306 69092612 120912071 138185224 241824142 328189907 483648284 656379814 742745579 967296568 1312759628 1485491158 2297329349 2625519256 2970982316 4594658698 5199219053 5941964632 9189317396 10398438106 14112166001 18378634792 20796876212 28224332002 41593752424 56448664004 98785162007 112897328008 197570324014 395140648028 790281296056