Search a number
-
+
863096690112 = 263171312018543
BaseRepresentation
bin11001000111101001001…
…00100101010111000000
310001111210200200200222020
430203310210211113000
5103120110223040422
61500300125241440
7116233224550536
oct14436444452700
93044720620866
10863096690112
11303045642988
1211b335403280
136350b143177
142daba1d0156
15176b783795c
hexc8f49255c0

863096690112 has 112 divisors (see below), whose sum is σ = 2436398756352. Its totient is φ = 268708311040.

The previous prime is 863096690111. The next prime is 863096690123. The reversal of 863096690112 is 211096690368.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863096690111) 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, 581688 + ... + 1436855.

Almost surely, 2863096690112 is an apocalyptic number.

It is an amenable number.

863096690112 is an abundant number, since it is smaller than the sum of its proper divisors (1573302066240).

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

863096690112 is a wasteful number, since it uses less digits than its factorization.

863096690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018706 (or 2018696 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 863096690112 in words is "eight hundred sixty-three billion, ninety-six million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 131 136 192 204 262 272 393 408 524 544 786 816 1048 1088 1572 1632 2096 2227 3144 3264 4192 4454 6288 6681 8384 8908 12576 13362 17816 25152 26724 35632 53448 71264 106896 142528 213792 427584 2018543 4037086 6055629 8074172 12111258 16148344 24222516 32296688 34315231 48445032 64593376 68630462 96890064 102945693 129186752 137260924 193780128 205891386 264429133 274521848 387560256 411782772 528858266 549043696 793287399 823565544 1057716532 1098087392 1586574798 1647131088 2115433064 2196174784 3173149596 3294262176 4230866128 4495295261 6346299192 6588524352 8461732256 8990590522 12692598384 13485885783 16923464512 17981181044 25385196768 26971771566 35962362088 50770393536 53943543132 71924724176 107887086264 143849448352 215774172528 287698896704 431548345056 863096690112