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45634320000 = 27335437571
BaseRepresentation
bin101010100000000001…
…000111011010000000
311100210100000122112000
4222200001013122000
51221424341220000
632544125504000
73203601214503
oct524001073200
9140710018460
1045634320000
1118398425055
128a16a12000
1343c3465119
1422cc9cb13a
1512c148a000
hexaa0047680

45634320000 has 640 divisors, whose sum is σ = 173153323200. Its totient is φ = 11819520000.

The previous prime is 45634319981. The next prime is 45634320019. The reversal of 45634320000 is 2343654.

45634320000 is a `hidden beast` number, since 4 + 5 + 634 + 3 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45634319981) and next prime (45634320019).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79919715 + ... + 79920285.

Almost surely, 245634320000 is an apocalyptic number.

45634320000 is a gapful number since it is divisible by the number (40) 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 45634320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86576661600).

45634320000 is an abundant number, since it is smaller than the sum of its proper divisors (127519003200).

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

45634320000 is an equidigital number, since it uses as much as digits as its factorization.

45634320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 45634320000 its reverse (2343654), we get a palindrome (45636663654).

It can be divided in two parts, 4563 and 4320000, that multiplied together give a square (19712160000 = 1404002).

The spelling of 45634320000 in words is "forty-five billion, six hundred thirty-four million, three hundred twenty thousand".