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640409156280 = 233451723231709
BaseRepresentation
bin10010101000110110101…
…11000011101010111000
32021020000012210212220000
421110123113003222320
540443024221000110
61210111102433000
764160636004165
oct11243327035270
92236005725800
10640409156280
11227661300823
12a4147892760
134850c708b7a
1422dd2d1b06c
15119d27261c0
hex951b5c3ab8

640409156280 has 960 divisors, whose sum is σ = 2462826643200. Its totient is φ = 148572610560.

The previous prime is 640409156209. The next prime is 640409156287. The reversal of 640409156280 is 82651904046.

640409156280 is a `hidden beast` number, since 6 + 4 + 0 + 4 + 0 + 9 + 1 + 562 + 80 = 666.

640409156280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6404091562802 (a number of 24 digits) contains 22 as substring.

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 (640409156287) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 903256566 + ... + 903257274.

It is an arithmetic number, because the mean of its divisors is an integer number (2565444420).

Almost surely, 2640409156280 is an apocalyptic number.

640409156280 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 640409156280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231413321600).

640409156280 is an abundant number, since it is smaller than the sum of its proper divisors (1822417486920).

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

640409156280 is a wasteful number, since it uses less digits than its factorization.

640409156280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 640409156280 in words is "six hundred forty billion, four hundred nine million, one hundred fifty-six thousand, two hundred eighty".