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45705202432 = 28594916163
BaseRepresentation
bin101010100100001111…
…100000101100000000
311100222021101211221021
4222210033200230000
51222101012434212
632555141035224
73205421545021
oct524417405400
9140867354837
1045705202432
111842443907a
128a366b5b14
1344050524a6
1422d819cc48
1512c77dc307
hexaa43e0b00

45705202432 has 72 divisors (see below), whose sum is σ = 92982214080. Its totient is φ = 22415877120.

The previous prime is 45705202429. The next prime is 45705202453. The reversal of 45705202432 is 23420250754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7412983 + ... + 7419145.

It is an arithmetic number, because the mean of its divisors is an integer number (1291419640).

Almost surely, 245705202432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45705202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46491107040).

45705202432 is an abundant number, since it is smaller than the sum of its proper divisors (47277011648).

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

45705202432 is an equidigital number, since it uses as much as digits as its factorization.

45705202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The spelling of 45705202432 in words is "forty-five billion, seven hundred five million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 491 944 982 1888 1964 3776 3928 6163 7552 7856 12326 15104 15712 24652 28969 31424 49304 57938 62848 98608 115876 125696 197216 231752 363617 394432 463504 727234 788864 927008 1454468 1577728 1854016 2908936 3026033 3708032 5817872 6052066 7416064 11635744 12104132 23271488 24208264 46542976 48416528 93085952 96833056 178535947 193666112 357071894 387332224 714143788 774664448 1428287576 2856575152 5713150304 11426300608 22852601216 45705202432