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16946398368 = 253319613887
BaseRepresentation
bin11111100100001010…
…11000010010100000
31121202000122020022000
433302011120102200
5234201234221433
611441324044000
71136643003144
oct176205302240
947660566260
1016946398368
117206888a09
12334b393600
1317a0b76873
14b6a929224
15692b3a113
hex3f21584a0

16946398368 has 48 divisors (see below), whose sum is σ = 49426997760. Its totient is φ = 5648799168.

The previous prime is 16946398307. The next prime is 16946398411. The reversal of 16946398368 is 86389364961.

16946398368 is a `hidden beast` number, since 169 + 463 + 9 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 9806080 + ... + 9807807.

It is an arithmetic number, because the mean of its divisors is an integer number (1029729120).

Almost surely, 216946398368 is an apocalyptic number.

16946398368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16946398368 is an abundant number, since it is smaller than the sum of its proper divisors (32480599392).

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

16946398368 is a wasteful number, since it uses less digits than its factorization.

16946398368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19613906 (or 19613892 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 16946398368 in words is "sixteen billion, nine hundred forty-six million, three hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 19613887 39227774 58841661 78455548 117683322 156911096 176524983 235366644 313822192 353049966 470733288 529574949 627644384 706099932 941466576 1059149898 1412199864 1882933152 2118299796 2824399728 4236599592 5648799456 8473199184 16946398368