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640306100640 = 253523127456683
BaseRepresentation
bin10010101000101010011…
…01111011100110100000
32021012202000220010010110
421110111031323212200
540442321330210030
61210052541531320
764155245024343
oct11242515734640
92235660803113
10640306100640
11227609112578
12a4119273b40
13484c42655bb
1422dc337245a
15119c866b1b0
hex951537b9a0

640306100640 has 192 divisors, whose sum is σ = 2121235070976. Its totient is φ = 162038080512.

The previous prime is 640306100579. The next prime is 640306100671. The reversal of 640306100640 is 46001603046.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 640306100598 and 640306100607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173739 + ... + 1630421.

It is an arithmetic number, because the mean of its divisors is an integer number (11048099328).

Almost surely, 2640306100640 is an apocalyptic number.

640306100640 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 640306100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060617535488).

640306100640 is an abundant number, since it is smaller than the sum of its proper divisors (1480928970336).

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

640306100640 is a wasteful number, since it uses less digits than its factorization.

640306100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456851 (or 456843 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 640306100640 its reverse (46001603046), we get a palindrome (686307703686).

The spelling of 640306100640 in words is "six hundred forty billion, three hundred six million, one hundred thousand, six hundred forty".