Search a number
-
+
1285013890566 = 233731199551063
BaseRepresentation
bin10010101100110000110…
…010111110011000000110
311112211211211100012211000
4102230300302332120012
5132023202023444231
62422154403154130
7161560561564260
oct22546062763006
94484754305730
101285013890566
11455a7592838a
12189064675946
139423a402a73
14462a313cb30
152365d4566e6
hex12b30cbe606

1285013890566 has 128 divisors (see below), whose sum is σ = 3385737216000. Its totient is φ = 353517294240.

The previous prime is 1285013890549. The next prime is 1285013890631. The reversal of 1285013890566 is 6650983105821.

1285013890566 is a `hidden beast` number, since 1 + 2 + 8 + 501 + 3 + 89 + 0 + 56 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056351 + ... + 2607413.

It is an arithmetic number, because the mean of its divisors is an integer number (26451072000).

Almost surely, 21285013890566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285013890566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692868608000).

1285013890566 is an abundant number, since it is smaller than the sum of its proper divisors (2100723325434).

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

1285013890566 is a wasteful number, since it uses less digits than its factorization.

1285013890566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551311 (or 551305 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1285013890566 in words is "one trillion, two hundred eighty-five billion, thirteen million, eight hundred ninety thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 199 217 279 378 398 434 558 597 651 837 1194 1302 1393 1674 1791 1953 2786 3582 3906 4179 5373 5859 6169 8358 10746 11718 12338 12537 18507 25074 37014 37611 43183 55521 75222 86366 111042 129549 166563 259098 333126 388647 551063 777294 1102126 1165941 1653189 2331882 3306378 3857441 4959567 7714882 9919134 11572323 14878701 17082953 23144646 29757402 34165906 34716969 51248859 69433938 102497718 104150907 109661537 119580671 153746577 208301814 219323074 239161342 307493154 328984611 358742013 461239731 657969222 717484026 767630759 922479462 986953833 1076226039 1535261518 1973907666 2152452078 2302892277 2960861499 3228678117 3399507647 4605784554 5921722998 6457356234 6799015294 6908676831 10198522941 13817353662 20397045882 20726030493 23796553529 30595568823 41452060986 47593107058 61191137646 71389660587 91786706469 142779321174 183573412938 214168981761 428337963522 642506945283 1285013890566