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669224428992 = 2632721923291871
BaseRepresentation
bin10011011110100001110…
…00100110010111000000
32100222101101211101221200
421233100320212113000
541431032423211432
61231234254021200
766231001534500
oct11572070462700
92328341741850
10669224428992
112388a881a699
12a9849aa7800
134b1524c62b2
1424567c8da00
151261c32ea7c
hex9bd0e265c0

669224428992 has 1008 divisors, whose sum is σ = 2536823577600. Its totient is φ = 167203491840.

The previous prime is 669224428903. The next prime is 669224429051. The reversal of 669224428992 is 299824422966.

669224428992 is a `hidden beast` number, since 6 + 6 + 9 + 22 + 442 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6692244289922 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357681817 + ... + 357683687.

Almost surely, 2669224428992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669224428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268411788800).

669224428992 is an abundant number, since it is smaller than the sum of its proper divisors (1867599148608).

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

669224428992 is a wasteful number, since it uses less digits than its factorization.

669224428992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1954 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 669224428992 in words is "six hundred sixty-nine billion, two hundred twenty-four million, four hundred twenty-eight thousand, nine hundred ninety-two".