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16321632320016 = 24323366672
BaseRepresentation
bin1110110110000010110100…
…0110001011101000010000
32010210022222121201112211100
43231200231012023220100
54114403200333220031
654414015424544400
73303125156435412
oct355405506135020
963708877645740
1016321632320016
115222a68a389a1
1219b72a9782100
1391517ac3257a
14405d850509b2
151d486a78ade6
hexed82d18ba10

16321632320016 has 45 divisors (see below), whose sum is σ = 45678037239471. Its totient is φ = 5440527946656.

The previous prime is 16321632319987. The next prime is 16321632320017. The reversal of 16321632320016 is 61002323612361.

The square root of 16321632320016 is 4040004.

It is a perfect power (a square), and thus also a powerful number.

16321632320016 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 1 + 632 + 3 + 2 + 0 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16321632320017) 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 8 ways as a sum of consecutive naturals, for example, 48311715 + ... + 48648381.

Almost surely, 216321632320016 is an apocalyptic number.

16321632320016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16321632320016 is the 4040004-th square number.

It is an amenable number.

16321632320016 is an abundant number, since it is smaller than the sum of its proper divisors (29356404919455).

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

16321632320016 is an frugal number, since it uses more digits than its factorization.

16321632320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673348 (or 336672 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 16321632320016 by its sum of digits (36), we get a square (587578763520576 = 242400242).

16321632320016 divided by its sum of digits (36) gives a square (453378675556 = 6733342).

Adding to 16321632320016 its reverse (61002323612361), we get a palindrome (77323955932377).

The spelling of 16321632320016 in words is "sixteen trillion, three hundred twenty-one billion, six hundred thirty-two million, three hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 336667 673334 1010001 1346668 2020002 2693336 3030003 4040004 5386672 6060006 8080008 12120012 16160016 24240024 48480048 113344668889 226689337778 340034006667 453378675556 680068013334 906757351112 1020102020001 1360136026668 1813514702224 2040204040002 2720272053336 4080408080004 5440544106672 8160816160008 16321632320016