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663220265472 = 2936312432
BaseRepresentation
bin10011010011010110000…
…00100010001000000000
32100101212221221022000000
421221223000202020000
541331233341443342
61224402412000000
765626134145542
oct11515300421000
92311787838000
10663220265472
112362a7605786
12a8653160000
134a70660040b
14241586b9692
15123ba17344c
hex9a6b022200

663220265472 has 630 divisors, whose sum is σ = 2101820667111. Its totient is φ = 208966625280.

The previous prime is 663220265471. The next prime is 663220265473. The reversal of 663220265472 is 274562022366.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

663220265472 is a `hidden beast` number, since 6 + 63 + 2 + 20 + 26 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (663220265471) and next prime (663220265473).

It can be written as a sum of positive squares in only one way, i.e., 331610132736 + 331610132736 = 575856^2 + 575856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=575856.

It is a super-2 number, since 2×6632202654722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (663220265471) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15423727083 + ... + 15423727125.

Almost surely, 2663220265472 is an apocalyptic number.

663220265472 is a gapful number since it is divisible by the number (62) 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 663220265472

663220265472 is an abundant number, since it is smaller than the sum of its proper divisors (1438600401639).

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

663220265472 is an frugal number, since it uses more digits than its factorization.

663220265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 663220265472 in words is "six hundred sixty-three billion, two hundred twenty million, two hundred sixty-five thousand, four hundred seventy-two".