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639284106240 = 210335131272801
BaseRepresentation
bin10010100110110000100…
…11010101010000000000
32021010002210211102101000
421103120103111100000
540433223212344430
61205403313012000
764121025150003
oct11233023252000
92233083742330
10639284106240
11227134236aaa
12a3a92b54000
13483905c72a0
1422d2773b53a
1511968a92e60
hex94d84d5400

639284106240 has 704 divisors, whose sum is σ = 2466807275520. Its totient is φ = 156067430400.

The previous prime is 639284106239. The next prime is 639284106247. The reversal of 639284106240 is 42601482936.

639284106240 is a `hidden beast` number, since 6 + 3 + 9 + 2 + 8 + 4 + 10 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639284106247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228232840 + ... + 228235640.

Almost surely, 2639284106240 is an apocalyptic number.

639284106240 is a gapful number since it is divisible by the number (60) 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 639284106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233403637760).

639284106240 is an abundant number, since it is smaller than the sum of its proper divisors (1827523169280).

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

639284106240 is a wasteful number, since it uses less digits than its factorization.

639284106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 639284106240 in words is "six hundred thirty-nine billion, two hundred eighty-four million, one hundred six thousand, two hundred forty".