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45645630678 = 23337193111831
BaseRepresentation
bin101010100000101100…
…010000110011010110
311100211010022021212000
4222200230100303112
51221440240140203
632545212140130
73204066313314
oct524054206326
9140733267760
1045645630678
11183a384aa1a
128a1a767646
1343c58c542b
1422d02d30b4
1512c24714a3
hexaa0b10cd6

45645630678 has 64 divisors (see below), whose sum is σ = 104238973440. Its totient is φ = 14795071200.

The previous prime is 45645630677. The next prime is 45645630739. The reversal of 45645630678 is 87603654654.

45645630678 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 563 + 0 + 6 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645630677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3852223 + ... + 3864053.

It is an arithmetic number, because the mean of its divisors is an integer number (1628733960).

Almost surely, 245645630678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45645630678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52119486720).

45645630678 is an abundant number, since it is smaller than the sum of its proper divisors (58593342762).

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

45645630678 is a wasteful number, since it uses less digits than its factorization.

45645630678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13810 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45645630678 in words is "forty-five billion, six hundred forty-five million, six hundred thirty thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1931 1998 3862 5793 11586 11831 17379 23662 34758 35493 52137 70986 71447 104274 106479 142894 212958 214341 319437 428682 437747 638874 643023 875494 1286046 1313241 1929069 2626482 3858138 3939723 7879446 11819169 22845661 23638338 45691322 68536983 137073966 205610949 411221898 616832847 845289457 1233665694 1690578914 2535868371 5071736742 7607605113 15215210226 22822815339 45645630678