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16408118496 = 25371119116827
BaseRepresentation
bin11110100100000000…
…00000010011100000
31120100111202210010110
433102000000103200
5232100434242441
611312054531320
71120415464110
oct172200002340
946314683113
1016408118496
116a5aa56310
12321b066b40
1317164aab73
14b1924b040
1566075eb16
hex3d20004e0

16408118496 has 192 divisors, whose sum is σ = 56526059520. Its totient is φ = 4037506560.

The previous prime is 16408118479. The next prime is 16408118651. The reversal of 16408118496 is 69481180461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82035 + ... + 198861.

It is an arithmetic number, because the mean of its divisors is an integer number (294406560).

Almost surely, 216408118496 is an apocalyptic number.

16408118496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16408118496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28263029760).

16408118496 is an abundant number, since it is smaller than the sum of its proper divisors (40117941024).

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

16408118496 is a wasteful number, since it uses less digits than its factorization.

16408118496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116877 (or 116869 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 16408118496 in words is "sixteen billion, four hundred eight million, one hundred eighteen thousand, four hundred ninety-six".