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45797578240 = 295157113947
BaseRepresentation
bin101010101001101111…
…111001011000000000
311101012201020000201111
4222221233321120000
51222243140000430
633012241013104
73210622664161
oct525157713000
9141181200644
1045797578240
11184715a2417
128a61624194
13441b22692b
142306567768
1512d0987c2a
hexaa9bf9600

45797578240 has 80 divisors (see below), whose sum is σ = 110507226192. Its totient is φ = 18202189824.

The previous prime is 45797578217. The next prime is 45797578279. The reversal of 45797578240 is 4287579754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344947 + ... + 458893.

Almost surely, 245797578240 is an apocalyptic number.

45797578240 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 45797578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55253613096).

45797578240 is an abundant number, since it is smaller than the sum of its proper divisors (64709647952).

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

45797578240 is a wasteful number, since it uses less digits than its factorization.

45797578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114127 (or 114111 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 45797578240 in words is "forty-five billion, seven hundred ninety-seven million, five hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 628 640 785 1256 1280 1570 2512 2560 3140 5024 6280 10048 12560 20096 25120 40192 50240 80384 100480 113947 200960 227894 401920 455788 569735 911576 1139470 1823152 2278940 3646304 4557880 7292608 9115760 14585216 17889679 18231520 29170432 35779358 36463040 58340864 71558716 72926080 89448395 143117432 145852160 178896790 286234864 291704320 357793580 572469728 715587160 1144939456 1431174320 2289878912 2862348640 4579757824 5724697280 9159515648 11449394560 22898789120 45797578240