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1999888272 = 243323431467
BaseRepresentation
bin111011100110011…
…1101111110010000
312011101010211222000
41313030331332100
513043432411042
6530240314000
7100362525024
oct16714757620
95141124860
101999888272
11936980728
12479912900
1325b438555
1414d86a384
15ba88e74c
hex7733df90

1999888272 has 160 divisors (see below), whose sum is σ = 6016757760. Its totient is φ = 634803840.

The previous prime is 1999888271. The next prime is 1999888309. The reversal of 1999888272 is 2728889991.

It is not an unprimeable number, because it can be changed into a prime (1999888271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4282183 + ... + 4282649.

It is an arithmetic number, because the mean of its divisors is an integer number (37604736).

Almost surely, 21999888272 is an apocalyptic number.

1999888272 is a gapful number since it is divisible by the number (12) 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 1999888272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008378880).

1999888272 is an abundant number, since it is smaller than the sum of its proper divisors (4016869488).

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

1999888272 is a wasteful number, since it uses less digits than its factorization.

1999888272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 1999888272 is about 44720.1103755346. The cubic root of 1999888272 is about 1259.8975880481.

The spelling of 1999888272 in words is "one billion, nine hundred ninety-nine million, eight hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 431 432 467 552 621 828 862 934 1104 1242 1293 1401 1656 1724 1868 2484 2586 2802 3312 3448 3736 3879 4203 4968 5172 5604 6896 7472 7758 8406 9913 9936 10344 10741 11208 11637 12609 15516 16812 19826 20688 21482 22416 23274 25218 29739 31032 32223 33624 39652 42964 46548 50436 59478 62064 64446 67248 79304 85928 89217 93096 96669 100872 118956 128892 158608 171856 178434 186192 193338 201277 201744 237912 257784 267651 290007 356868 386676 402554 475824 515568 535302 580014 603831 713736 773352 805108 1070604 1160028 1207662 1427472 1546704 1610216 1811493 2141208 2320056 2415324 3220432 3622986 4282416 4629371 4640112 4830648 5434479 7245972 9258742 9661296 10868958 13888113 14491944 18517484 21737916 27776226 28983888 37034968 41664339 43475832 55552452 74069936 83328678 86951664 111104904 124993017 166657356 222209808 249986034 333314712 499972068 666629424 999944136 1999888272