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1999956096 = 273621433
BaseRepresentation
bin111011100110100…
…1110100010000000
312011101021022000000
41313031032202000
513043442043341
6530242000000
7100363226535
oct16715164200
95141238000
101999956096
11936a17686
12479946000
1325b460398
1414d886d8c
15ba8a48b6
hex7734e880

1999956096 has 112 divisors (see below), whose sum is σ = 5973977310. Its totient is φ = 666620928.

The previous prime is 1999956083. The next prime is 1999956149. The reversal of 1999956096 is 6906599991.

1999956096 is a `hidden beast` number, since 19 + 9 + 9 + 9 + 5 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1960718400 + 39237696 = 44280^2 + 6264^2 .

It is a super-2 number, since 2×19999560962 = 7999648771855122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 82596 + ... + 104028.

Almost surely, 21999956096 is an apocalyptic number.

1999956096 is a gapful number since it is divisible by the number (16) 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 1999956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986988655).

1999956096 is an abundant number, since it is smaller than the sum of its proper divisors (3974021214).

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

1999956096 is an frugal number, since it uses more digits than its factorization.

1999956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21465 (or 21438 counting only the distinct ones).

The product of its (nonzero) digits is 10628820, while the sum is 63.

The square root of 1999956096 is about 44720.8686856595. The cubic root of 1999956096 is about 1259.9118305651.

The spelling of 1999956096 in words is "one billion, nine hundred ninety-nine million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 21433 23328 31104 42866 46656 64299 85732 93312 128598 171464 192897 257196 342928 385794 514392 578691 685856 771588 1028784 1157382 1371712 1543176 1736073 2057568 2314764 2743424 3086352 3472146 4115136 4629528 5208219 6172704 6944292 8230272 9259056 10416438 12345408 13888584 15624657 18518112 20832876 24690816 27777168 31249314 37036224 41665752 55554336 62498628 74072448 83331504 111108672 124997256 166663008 222217344 249994512 333326016 499989024 666652032 999978048 1999956096