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916568805376 = 2127221372
BaseRepresentation
bin11010101011001111100…
…00100001000000000000
310020121211020220121022201
431111213300201000000
5110004113103233001
61541022122242544
7123135300204400
oct15254760410000
93217736817281
10916568805376
11323795217584
12129779056454
1368580338263
143250db00800
1518c96e2c501
hexd567c21000

916568805376 has 117 divisors (see below), whose sum is σ = 2133163282509. Its totient is φ = 392631386112.

The previous prime is 916568805371. The next prime is 916568805391. The reversal of 916568805376 is 673508865619.

The square root of 916568805376 is 957376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41550745600 + 875018059776 = 203840^2 + 935424^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (916568805371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 428903380 + ... + 428905516.

Almost surely, 2916568805376 is an apocalyptic number.

916568805376 is the 957376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916568805376

916568805376 is an abundant number, since it is smaller than the sum of its proper divisors (1216594477133).

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

916568805376 is an frugal number, since it uses more digits than its factorization.

916568805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

Multiplying 916568805376 by its sum of digits (64), we get a square (58660403544064 = 76590082).

916568805376 divided by its sum of digits (64) gives a square (14321387584 = 1196722).

The spelling of 916568805376 in words is "nine hundred sixteen billion, five hundred sixty-eight million, eight hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2137 3136 3584 4096 4274 6272 7168 8548 12544 14336 14959 17096 25088 28672 29918 34192 50176 59836 68384 100352 104713 119672 136768 200704 209426 239344 273536 418852 478688 547072 837704 957376 1094144 1675408 1914752 2188288 3350816 3829504 4376576 4566769 6701632 7659008 8753152 9133538 13403264 15318016 18267076 26806528 30636032 31967383 36534152 53613056 61272064 63934766 73068304 107226112 127869532 146136608 214452224 223771681 255739064 292273216 428904448 447543362 511478128 584546432 895086724 1022956256 1169092864 1790173448 2045912512 2338185728 3580346896 4091825024 4676371456 7160693792 8183650048 9352742912 14321387584 16367300096 18705485824 28642775168 32734600192 57285550336 65469200384 114571100672 130938400768 229142201344 458284402688 916568805376