Search a number
-
+
1802000663632 = 241335340036131
BaseRepresentation
bin11010001110001111100…
…111000000010001010000
320101021021112011102000201
4122032033213000101100
5214010444132214012
63455454440024544
7244122153625441
oct32161747002120
96337245142021
101802000663632
1163525143a904
122512a6462154
13100c0a892640
146330839b2c8
1531d1a4ec857
hex1a38f9c0450

1802000663632 has 80 divisors (see below), whose sum is σ = 3772152191808. Its totient is φ = 828994129920.

The previous prime is 1802000663623. The next prime is 1802000663633. The reversal of 1802000663632 is 2363660002081.

It is a junction number, because it is equal to n+sod(n) for n = 1802000663591 and 1802000663600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1802000663633) 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, 293913207 + ... + 293919337.

Almost surely, 21802000663632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1802000663632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886076095904).

1802000663632 is an abundant number, since it is smaller than the sum of its proper divisors (1970151528176).

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

1802000663632 is a wasteful number, since it uses less digits than its factorization.

1802000663632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 1802000663632 in words is "one trillion, eight hundred two billion, six hundred sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1412 2824 4003 4589 5648 6131 8006 9178 12262 16012 18356 24524 32024 36712 49048 52039 64048 73424 79703 98096 104078 159406 208156 318812 416312 637624 832624 1275248 1413059 2164243 2826118 4328486 5652236 8656972 11304472 17313944 18369767 22608944 24542393 28135159 34627888 36739534 49084786 56270318 73479068 98169572 112540636 146958136 196339144 225081272 293916272 319051109 392678288 450162544 638102218 1276204436 2552408872 5104817744 8663464729 17326929458 34653858916 69307717832 112625041477 138615435664 225250082954 450500165908 901000331816 1802000663632