Search a number
-
+
1800268815424 = 2683385387959
BaseRepresentation
bin11010001100101000011…
…000100001110001000000
320101002210211101101220111
4122030220120201301000
5213443422304043144
63455010532321104
7244031224306342
oct32145030416100
96332724341814
101800268815424
116345428a46a2
12250aa2473194
131009c2b44aa1
14631c2385292
1531c68457534
hex1a328621c40

1800268815424 has 56 divisors (see below), whose sum is σ = 3616428957120. Its totient is φ = 889048502784.

The previous prime is 1800268815419. The next prime is 1800268815431. The reversal of 1800268815424 is 4245188620081.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20423157 + ... + 20511115.

It is an arithmetic number, because the mean of its divisors is an integer number (64579088520).

Almost surely, 21800268815424 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 1800268815424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808214478560).

1800268815424 is an abundant number, since it is smaller than the sum of its proper divisors (1816160141696).

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

1800268815424 is an equidigital number, since it uses as much as digits as its factorization.

1800268815424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91907 (or 91897 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 1800268815424 in words is "one trillion, eight hundred billion, two hundred sixty-eight million, eight hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 2656 3853 5312 7706 15412 30824 61648 87959 123296 175918 246592 319799 351836 639598 703672 1279196 1407344 2558392 2814688 5116784 5629376 7300597 10233568 14601194 20467136 29202388 58404776 116809552 233619104 338906027 467238208 677812054 1355624108 2711248216 5422496432 10844992864 21689985728 28129200241 56258400482 112516800964 225033601928 450067203856 900134407712 1800268815424