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16172329968 = 243337435949
BaseRepresentation
bin11110000111111001…
…00010101111110000
31112202002002111002000
433003330202233300
5231110104024333
611232433054000
71111523352024
oct170374425760
945662074060
1016172329968
116949949963
1231740b7300
1316a96a2c22
14ad5bd0384
15649bd6713
hex3c3f22bf0

16172329968 has 40 divisors (see below), whose sum is σ = 46420578000. Its totient is φ = 5390776512.

The previous prime is 16172329961. The next prime is 16172330011. The reversal of 16172329968 is 86992327161.

16172329968 is a `hidden beast` number, since 161 + 72 + 329 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16172329961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18717543 + ... + 18718406.

It is an arithmetic number, because the mean of its divisors is an integer number (1160514450).

Almost surely, 216172329968 is an apocalyptic number.

16172329968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16172329968 is an abundant number, since it is smaller than the sum of its proper divisors (30248248032).

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

16172329968 is a wasteful number, since it uses less digits than its factorization.

16172329968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37435966 (or 37435954 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 16172329968 in words is "sixteen billion, one hundred seventy-two million, three hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 37435949 74871898 112307847 149743796 224615694 299487592 336923541 449231388 598975184 673847082 898462776 1010770623 1347694164 1796925552 2021541246 2695388328 4043082492 5390776656 8086164984 16172329968