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2145194496 = 2933295351
BaseRepresentation
bin111111111011101…
…0001001000000000
312112111120011122000
41333313101020000
513343132210441
6552510544000
7104105565234
oct17767211000
95474504560
102145194496
11a009a7415
124ba508000
13282582b73
14164c925c4
15c84e32b6
hex7fdd1200

2145194496 has 160 divisors (see below), whose sum is σ = 6570115200. Its totient is φ = 690278400.

The previous prime is 2145194477. The next prime is 2145194551. The reversal of 2145194496 is 6944915412.

2145194496 is a `hidden beast` number, since 2 + 1 + 4 + 519 + 44 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398221 + ... + 403571.

It is an arithmetic number, because the mean of its divisors is an integer number (41063220).

Almost surely, 22145194496 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 2145194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285057600).

2145194496 is an abundant number, since it is smaller than the sum of its proper divisors (4424920704).

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

2145194496 is an equidigital number, since it uses as much as digits as its factorization.

2145194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5385 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2145194496 is about 46316.2444073351. The cubic root of 2145194496 is about 1289.7005686850.

The spelling of 2145194496 in words is "two billion, one hundred forty-five million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5351 5568 6264 6912 7424 8352 10702 11136 12528 13824 14848 16053 16704 21404 22272 25056 32106 33408 42808 44544 48159 50112 64212 66816 85616 96318 100224 128424 133632 144477 155179 171232 192636 200448 256848 288954 310358 342464 385272 400896 465537 513696 577908 620716 684928 770544 931074 1027392 1155816 1241432 1369856 1396611 1541088 1862148 2054784 2311632 2482864 2739712 2793222 3082176 3724296 4109568 4189833 4623264 4965728 5586444 6164352 7448592 8219136 8379666 9246528 9931456 11172888 12328704 14897184 16759332 18493056 19862912 22345776 24657408 29794368 33518664 36986112 39725824 44691552 59588736 67037328 73972224 79451648 89383104 119177472 134074656 178766208 238354944 268149312 357532416 536298624 715064832 1072597248 2145194496