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1813994424 = 23321111320269
BaseRepresentation
bin110110000011111…
…0101101110111000
311200102100110112200
41230013311232320
512203340310144
6500000110200
762644461324
oct15407655670
94612313480
101813994424
11850a52950
12427605360
1322ba7caa8
14132cba984
15a93bec69
hex6c1f5bb8

1813994424 has 96 divisors (see below), whose sum is σ = 5407225200. Its totient is φ = 544803840.

The previous prime is 1813994411. The next prime is 1813994437. The reversal of 1813994424 is 4244993181.

1813994424 is a `hidden beast` number, since 1 + 8 + 139 + 94 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (1813994411) and next prime (1813994437).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1813994424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79362 + ... + 99630.

Almost surely, 21813994424 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 1813994424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703612600).

1813994424 is an abundant number, since it is smaller than the sum of its proper divisors (3593230776).

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

1813994424 is a wasteful number, since it uses less digits than its factorization.

1813994424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20405 (or 20398 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1813994424 is about 42591.0134183257. The cubic root of 1813994424 is about 1219.5847426646.

The spelling of 1813994424 in words is "one billion, eight hundred thirteen million, nine hundred ninety-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 113 132 198 226 264 339 396 452 678 792 904 1017 1243 1356 2034 2486 2712 3729 4068 4972 7458 8136 9944 11187 14916 20269 22374 29832 40538 44748 60807 81076 89496 121614 162152 182421 222959 243228 364842 445918 486456 668877 729684 891836 1337754 1459368 1783672 2006631 2290397 2675508 4013262 4580794 5351016 6871191 8026524 9161588 13742382 16053048 18323176 20613573 25194367 27484764 41227146 50388734 54969528 75583101 82454292 100777468 151166202 164908584 201554936 226749303 302332404 453498606 604664808 906997212 1813994424