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2003994000216 = 233313254897929
BaseRepresentation
bin11101001010010111010…
…110011011101101011000
321002120122210021002021000
4131022113112123231120
5230313134431001331
64132342214145000
7264532560642405
oct35122726335530
97076583232230
102003994000216
1170298640730a
12284479652160
13116c8bb64c00
146cdcb0c12ac
15371dd96a0e6
hex1d29759bb58

2003994000216 has 96 divisors (see below), whose sum is σ = 6027792714000. Its totient is φ = 616613527296.

The previous prime is 2003994000181. The next prime is 2003994000299. The reversal of 2003994000216 is 6120004993002.

2003994000216 is a `hidden beast` number, since 2 + 0 + 0 + 39 + 9 + 400 + 0 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27412461 + ... + 27485468.

Almost surely, 22003994000216 is an apocalyptic number.

2003994000216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2003994000216 is an abundant number, since it is smaller than the sum of its proper divisors (4023798713784).

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

2003994000216 is a wasteful number, since it uses less digits than its factorization.

2003994000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54897970 (or 54897947 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 2003994000216 its reverse (6120004993002), we get a palindrome (8123998993218).

The spelling of 2003994000216 in words is "two trillion, three billion, nine hundred ninety-four million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 36504 54897929 109795858 164693787 219591716 329387574 439183432 494081361 658775148 713673077 988162722 1317550296 1427346154 1482244083 1976325444 2141019231 2854692308 2964488166 3952650888 4282038462 5709384616 5928976332 6423057693 8564076924 9277750001 11857952664 12846115386 17128153848 18555500002 19269173079 25692230772 27833250003 37111000004 38538346158 51384461544 55666500006 74222000008 77076692316 83499750009 111333000012 154153384632 166999500018 222666000024 250499250027 333999000036 500998500054 667998000072 1001997000108 2003994000216