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16404516144 = 243337973417
BaseRepresentation
bin11110100011100100…
…10000110100110000
31120100020222202122000
433101302100310300
5232044024004034
611311445414000
71120343041452
oct172162206460
946306882560
1016404516144
116a58a15865
123219a0a300
1317158192b3
14b189902d2
1566029c599
hex3d1c90d30

16404516144 has 40 divisors (see below), whose sum is σ = 47087038320. Its totient is φ = 5468171904.

The previous prime is 16404516083. The next prime is 16404516187. The reversal of 16404516144 is 44161540461.

16404516144 is a `hidden beast` number, since 1 + 64 + 0 + 451 + 6 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16404516099 and 16404516108.

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, 18986277 + ... + 18987140.

It is an arithmetic number, because the mean of its divisors is an integer number (1177175958).

Almost surely, 216404516144 is an apocalyptic number.

It is an amenable number.

16404516144 is an abundant number, since it is smaller than the sum of its proper divisors (30682522176).

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

16404516144 is a wasteful number, since it uses less digits than its factorization.

16404516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37973434 (or 37973422 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16404516144 in words is "sixteen billion, four hundred four million, five hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 37973417 75946834 113920251 151893668 227840502 303787336 341760753 455681004 607574672 683521506 911362008 1025282259 1367043012 1822724016 2050564518 2734086024 4101129036 5468172048 8202258072 16404516144