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216346554960 = 2435901443979
BaseRepresentation
bin1100100101111101000…
…0100111001001010000
3202200102120012201022220
43021133100213021100
512021034204224320
6243215505301040
721426161242434
oct3113720471120
9680376181286
10216346554960
118382aa98958
1235b1a034780
131752ab234c3
14a6850a49c4
1559635c2e40
hex325f427250

216346554960 has 40 divisors (see below), whose sum is σ = 670674321120. Its totient is φ = 57692414592.

The previous prime is 216346554959. The next prime is 216346554961. The reversal of 216346554960 is 69455643612.

It is an interprime number because it is at equal distance from previous prime (216346554959) and next prime (216346554961).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216346554961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450721750 + ... + 450722229.

It is an arithmetic number, because the mean of its divisors is an integer number (16766858028).

Almost surely, 2216346554960 is an apocalyptic number.

216346554960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216346554960 is an abundant number, since it is smaller than the sum of its proper divisors (454327766160).

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

216346554960 is a wasteful number, since it uses less digits than its factorization.

216346554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901443995 (or 901443989 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 216346554960 in words is "two hundred sixteen billion, three hundred forty-six million, five hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 901443979 1802887958 2704331937 3605775916 4507219895 5408663874 7211551832 9014439790 10817327748 13521659685 14423103664 18028879580 21634655496 27043319370 36057759160 43269310992 54086638740 72115518320 108173277480 216346554960