Search a number
-
+
863085592576 = 2161921912
BaseRepresentation
bin11001000111100111110…
…10010000000000000000
310001111202220210220000101
430203303322100000000
5103120044402430301
61500255051332144
7116233031330314
oct14436372200000
93044686726011
10863085592576
1130303a353169
1211b331751054
1363508a58b8c
142dab8941b44
15176b6894701
hexc8f3e90000

863085592576 has 153 divisors (see below), whose sum is σ = 1831378144323. Its totient is φ = 406689546240.

The previous prime is 863085592573. The next prime is 863085592613. The reversal of 863085592576 is 675295580368.

The square root of 863085592576 is 929024.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×8630855925762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (863085592573) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4518772641 + ... + 4518772831.

Almost surely, 2863085592576 is an apocalyptic number.

863085592576 is the 929024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863085592576

863085592576 is an abundant number, since it is smaller than the sum of its proper divisors (968292551747).

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

863085592576 is an frugal number, since it uses more digits than its factorization.

863085592576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 64.

Multiplying 863085592576 by its sum of digits (64), we get a square (55237477924864 = 74321922).

863085592576 divided by its sum of digits (64) gives a square (13485712384 = 1161282).

The spelling of 863085592576 in words is "eight hundred sixty-three billion, eighty-five million, five hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 191 256 304 361 382 512 608 722 764 1024 1216 1444 1528 2048 2432 2888 3056 3629 4096 4864 5776 6112 7258 8192 9728 11552 12224 14516 16384 19456 23104 24448 29032 32768 36481 38912 46208 48896 58064 65536 68951 72962 77824 92416 97792 116128 137902 145924 155648 184832 195584 232256 275804 291848 311296 369664 391168 464512 551608 583696 622592 693139 739328 782336 929024 1103216 1167392 1245184 1386278 1478656 1564672 1858048 2206432 2334784 2772556 2957312 3129344 3716096 4412864 4669568 5545112 5914624 6258688 7432192 8825728 9339136 11090224 11829248 12517376 13169641 14864384 17651456 18678272 22180448 23658496 26339282 29728768 35302912 37356544 44360896 52678564 59457536 70605824 74713088 88721792 105357128 118915072 141211648 149426176 177443584 210714256 237830144 282423296 298852352 354887168 421428512 564846592 597704704 709774336 842857024 1129693184 1195409408 1419548672 1685714048 2259386368 2390818816 2839097344 3371428096 4518772736 5678194688 6742856192 11356389376 13485712384 22712778752 26971424768 45425557504 53942849536 107885699072 215771398144 431542796288 863085592576