Search a number
-
+
1023989784064 = 2913971586027
BaseRepresentation
bin11101110011010101000…
…11000001111000000000
310121220002121102201112221
432321222203001320000
5113234112341042224
62102225302500424
7133660264360312
oct16715243017000
93556077381487
101023989784064
113652a95a0815
12146558134714
137573c428c40
14377c05837b2
151b9828da6e4
hexee6a8c1e00

1023989784064 has 80 divisors (see below), whose sum is σ = 2226079115568. Its totient is φ = 467738099712.

The previous prime is 1023989784061. The next prime is 1023989784107. The reversal of 1023989784064 is 4604879893201.

It is a junction number, because it is equal to n+sod(n) for n = 1023989783993 and 1023989784011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023989784061) 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 7 ways as a sum of consecutive naturals, for example, 147382 + ... + 1438645.

Almost surely, 21023989784064 is an apocalyptic number.

It is an amenable number.

1023989784064 is an abundant number, since it is smaller than the sum of its proper divisors (1202089331504).

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

1023989784064 is an equidigital number, since it uses as much as digits as its factorization.

1023989784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586155 (or 1586139 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 1023989784064 in words is "one trillion, twenty-three billion, nine hundred eighty-nine million, seven hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 512 776 832 1261 1552 1664 2522 3104 3328 5044 6208 6656 10088 12416 20176 24832 40352 49664 80704 161408 322816 645632 1586027 3172054 6344108 12688216 20618351 25376432 41236702 50752864 82473404 101505728 153844619 164946808 203011456 307689238 329893616 406022912 615378476 659787232 812045824 1230756952 1319574464 1999980047 2461513904 2639148928 3999960094 4923027808 5278297856 7999920188 9846055616 10556595712 15999840376 19692111232 31999680752 39384222464 63999361504 78768444928 127998723008 255997446016 511994892032 1023989784064