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16412003124 = 223113710930829
BaseRepresentation
bin11110100100011101…
…10100101100110100
31120100210002010211120
433102032310230310
5232102433044444
611312314103540
71120463503416
oct172216645464
946323063746
1016412003124
116a62169950
12322041abb0
13171723b06a
14b1997c9b6
15660c7ab19
hex3d23b4b34

16412003124 has 96 divisors (see below), whose sum is σ = 43300118400. Its totient is φ = 4794370560.

The previous prime is 16412003063. The next prime is 16412003129. The reversal of 16412003124 is 42130021461.

It is a junction number, because it is equal to n+sod(n) for n = 16412003094 and 16412003103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412003129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516942 + ... + 547770.

It is an arithmetic number, because the mean of its divisors is an integer number (451042900).

Almost surely, 216412003124 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 16412003124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650059200).

16412003124 is an abundant number, since it is smaller than the sum of its proper divisors (26888115276).

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

16412003124 is a wasteful number, since it uses less digits than its factorization.

16412003124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30993 (or 30991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16412003124 its reverse (42130021461), we get a palindrome (58542024585).

The spelling of 16412003124 in words is "sixteen billion, four hundred twelve million, three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 109 111 132 148 218 222 327 407 436 444 654 814 1199 1221 1308 1628 2398 2442 3597 4033 4796 4884 7194 8066 12099 14388 16132 24198 30829 44363 48396 61658 88726 92487 123316 133089 177452 184974 266178 339119 369948 532356 678238 1017357 1140673 1356476 2034714 2281346 3360361 3422019 4069428 4562692 6720722 6844038 10081083 12547403 13441444 13688076 20162166 25094806 36963971 37642209 40324332 50189612 73927942 75284418 110891913 124333357 147855884 150568836 221783826 248666714 373000071 443567652 497333428 746000142 1367666927 1492000284 2735333854 4103000781 5470667708 8206001562 16412003124