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851969664 = 2735721343
BaseRepresentation
bin110010110010000…
…000011010000000
32012101010112200000
4302302000122000
53221101012124
6220312400000
730053423400
oct6262003200
92171115600
10851969664
113a7a07467
121b93a6000
1310767a980
1481216800
154ebe06c9
hex32c80680

851969664 has 576 divisors, whose sum is σ = 3259095840. Its totient is φ = 219469824.

The previous prime is 851969663. The next prime is 851969669. The reversal of 851969664 is 466969158.

It is a happy number.

851969664 is a `hidden beast` number, since 8 + 519 + 69 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 851969664.

It is not an unprimeable number, because it can be changed into a prime (851969663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19813227 + ... + 19813269.

Almost surely, 2851969664 is an apocalyptic number.

851969664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629547920).

851969664 is an abundant number, since it is smaller than the sum of its proper divisors (2407126176).

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

851969664 is a wasteful number, since it uses less digits than its factorization.

851969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 851969664 is about 29188.5193869096. The cubic root of 851969664 is about 947.9993590766. Note that the first 3 decimals are identical.

The spelling of 851969664 in words is "eight hundred fifty-one million, nine hundred sixty-nine thousand, six hundred sixty-four".