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1999268064 = 253237373503
BaseRepresentation
bin111011100101010…
…0110100011100000
312011022222100012100
41313022212203200
513043303034224
6530215130400
7100354332603
oct16712464340
95138870170
101999268064
11936597762
12479673a00
1325b27c171
1414d74833a
15ba7baac9
hex772a68e0

1999268064 has 144 divisors (see below), whose sum is σ = 5866372512. Its totient is φ = 645387264.

The previous prime is 1999268059. The next prime is 1999268069. The reversal of 1999268064 is 4608629991.

It is an interprime number because it is at equal distance from previous prime (1999268059) and next prime (1999268069).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1999268064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1999268069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3974437 + ... + 3974939.

It is an arithmetic number, because the mean of its divisors is an integer number (40738698).

Almost surely, 21999268064 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 1999268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933186256).

1999268064 is an abundant number, since it is smaller than the sum of its proper divisors (3867104448).

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

1999268064 is a wasteful number, since it uses less digits than its factorization.

1999268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1999268064 is about 44713.1755078970. The cubic root of 1999268064 is about 1259.7673342127.

The spelling of 1999268064 in words is "one billion, nine hundred ninety-nine million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 373 444 503 592 666 746 888 1006 1119 1184 1332 1492 1509 1776 2012 2238 2664 2984 3018 3357 3552 4024 4476 4527 5328 5968 6036 6714 8048 8952 9054 10656 11936 12072 13428 13801 16096 17904 18108 18611 24144 26856 27602 35808 36216 37222 41403 48288 53712 55204 55833 72432 74444 82806 107424 110408 111666 124209 144864 148888 165612 167499 187619 220816 223332 248418 297776 331224 334998 375238 441632 446664 496836 562857 595552 662448 669996 750476 893328 993672 1125714 1324896 1339992 1500952 1688571 1786656 1987344 2251428 2679984 3001904 3377142 3974688 4502856 5359968 6003808 6754284 6941903 9005712 13508568 13883806 18011424 20825709 27017136 27767612 41651418 54034272 55535224 62477127 83302836 111070448 124954254 166605672 222140896 249908508 333211344 499817016 666422688 999634032 1999268064