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1699938816 = 29319311879
BaseRepresentation
bin110010101010011…
…0000001000000000
311101110201211122220
41211110300020000
511440141020231
6440403331040
760061145562
oct14524601000
94343654586
101699938816
117a2631214
123b5380a80
13211257774
14121aab332
159e390896
hex65530200

1699938816 has 160 divisors (see below), whose sum is σ = 4923494400. Its totient is φ = 519229440.

The previous prime is 1699938781. The next prime is 1699938829. The reversal of 1699938816 is 6188399961.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1699938816.

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, 903765 + ... + 905643.

It is an arithmetic number, because the mean of its divisors is an integer number (30771840).

Almost surely, 21699938816 is an apocalyptic number.

1699938816 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 1699938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461747200).

1699938816 is an abundant number, since it is smaller than the sum of its proper divisors (3223555584).

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

1699938816 is a wasteful number, since it uses less digits than its factorization.

1699938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1934 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 60.

The square root of 1699938816 is about 41230.3142845164. The cubic root of 1699938816 is about 1193.4688737015.

The spelling of 1699938816 in words is "one billion, six hundred ninety-nine million, nine hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 512 589 608 744 768 912 992 1178 1216 1488 1536 1767 1824 1879 1984 2356 2432 2976 3534 3648 3758 3968 4712 4864 5637 5952 7068 7296 7516 7936 9424 9728 11274 11904 14136 14592 15032 15872 18848 22548 23808 28272 29184 30064 35701 37696 45096 47616 56544 58249 60128 71402 75392 90192 107103 113088 116498 120256 142804 150784 174747 180384 214206 226176 232996 240512 285608 301568 349494 360768 428412 452352 465992 481024 571216 698988 721536 856824 904704 931984 962048 1106731 1142432 1397976 1443072 1713648 1863968 2213462 2284864 2795952 2886144 3320193 3427296 3727936 4426924 4569728 5591904 6640386 6854592 7455872 8853848 9139456 11183808 13280772 13709184 14911744 17707696 18278912 22367616 26561544 27418368 29823488 35415392 44735232 53123088 54836736 70830784 89470464 106246176 141661568 212492352 283323136 424984704 566646272 849969408 1699938816