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1994080968 = 2332112435323
BaseRepresentation
bin111011011011011…
…0100001011001000
312010222012210211200
41312312310023020
513040441042333
6525512024200
7100262260065
oct16666641310
95128183750
101994080968
11933674600
12477992060
1325a184189
1414cb97c6c
15ba0e3c13
hex76db42c8

1994080968 has 144 divisors (see below), whose sum is σ = 6075429360. Its totient is φ = 590103360.

The previous prime is 1994080967. The next prime is 1994080969. The reversal of 1994080968 is 8690804991.

1994080968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1994080967) and next prime (1994080969).

It is not an unprimeable number, because it can be changed into a prime (1994080967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371955 + ... + 377277.

Almost surely, 21994080968 is an apocalyptic number.

1994080968 is a gapful number since it is divisible by the number (18) 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 1994080968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037714680).

1994080968 is an abundant number, since it is smaller than the sum of its proper divisors (4081348392).

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

1994080968 is a wasteful number, since it uses less digits than its factorization.

1994080968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1994080968 is about 44655.1337250265. The cubic root of 1994080968 is about 1258.6769028935.

The spelling of 1994080968 in words is "one billion, nine hundred ninety-four million, eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 121 129 132 172 198 242 258 264 344 363 387 396 473 484 516 726 774 792 946 968 1032 1089 1419 1452 1548 1892 2178 2838 2904 3096 3784 4257 4356 5203 5323 5676 8514 8712 10406 10646 11352 15609 15969 17028 20812 21292 31218 31938 34056 41624 42584 46827 47907 58553 62436 63876 93654 95814 117106 124872 127752 175659 187308 191628 228889 234212 351318 374616 383256 457778 468424 526977 644083 686667 702636 915556 1053954 1288166 1373334 1405272 1831112 1932249 2060001 2107908 2517779 2576332 2746668 3864498 4120002 4215816 5035558 5152664 5493336 5796747 7553337 7728996 8240004 10071116 11593494 15106674 15457992 16480008 20142232 22660011 23186988 27695569 30213348 45320022 46373976 55391138 60426696 83086707 90640044 110782276 166173414 181280088 221564552 249260121 332346828 498520242 664693656 997040484 1994080968