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45762343168 = 28317619911
BaseRepresentation
bin101010100111101001…
…011111000100000000
311101010020220220021211
4222213221133010000
51222210124440133
633004541455504
73210014333053
oct524751370400
9141106826254
1045762343168
1118453716823
128a51871594
134413b3ab89
1423019d4a9a
1512cc827bcd
hexaa7a5f100

45762343168 has 72 divisors (see below), whose sum is σ = 91882869120. Its totient is φ = 22747146240.

The previous prime is 45762343153. The next prime is 45762343171. The reversal of 45762343168 is 86134326754.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50232633 + ... + 50233543.

It is an arithmetic number, because the mean of its divisors is an integer number (1276150960).

Almost surely, 245762343168 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 45762343168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45941434560).

45762343168 is an abundant number, since it is smaller than the sum of its proper divisors (46120525952).

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

45762343168 is an equidigital number, since it uses as much as digits as its factorization.

45762343168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1849 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

The spelling of 45762343168 in words is "forty-five billion, seven hundred sixty-two million, three hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 317 619 634 911 1238 1268 1822 2476 2536 3644 4952 5072 7288 9904 10144 14576 19808 20288 29152 39616 40576 58304 79232 81152 116608 158464 196223 233216 288787 392446 563909 577574 784892 1127818 1155148 1569784 2255636 2310296 3139568 4511272 4620592 6279136 9022544 9241184 12558272 18045088 18482368 25116544 36090176 36964736 50233088 72180352 73929472 144360704 178759153 357518306 715036612 1430073224 2860146448 5720292896 11440585792 22881171584 45762343168