Search a number
-
+
16042948488 = 2332728354787
BaseRepresentation
bin11101111000011101…
…11111011110001000
31112102001122020001100
432330032333132020
5230323443322423
611211532021400
71105362545400
oct167416773610
945361566040
1016042948488
11689290a716
123138901860
131688942b38
14ac2951800
1563d67b343
hex3bc3bf788

16042948488 has 144 divisors (see below), whose sum is σ = 51153364080. Its totient is φ = 4528391616.

The previous prime is 16042948459. The next prime is 16042948499. The reversal of 16042948488 is 88484924061.

It is a happy number.

16042948488 is a `hidden beast` number, since 1 + 60 + 4 + 29 + 484 + 88 = 666.

It is a super-2 number, since 2×160429484882 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265431 + ... + 320217.

It is an arithmetic number, because the mean of its divisors is an integer number (355231695).

Almost surely, 216042948488 is an apocalyptic number.

16042948488 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 16042948488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25576682040).

16042948488 is an abundant number, since it is smaller than the sum of its proper divisors (35110415592).

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

16042948488 is a wasteful number, since it uses less digits than its factorization.

16042948488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54896 (or 54882 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 16042948488 in words is "sixteen billion, forty-two million, nine hundred forty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 83 84 98 126 147 166 168 196 249 252 294 332 392 441 498 504 581 588 664 747 882 996 1162 1176 1494 1743 1764 1992 2324 2988 3486 3528 4067 4648 5229 5976 6972 8134 10458 12201 13944 16268 20916 24402 32536 36603 41832 48804 54787 73206 97608 109574 146412 164361 219148 292824 328722 383509 438296 493083 657444 767018 986166 1150527 1314888 1534036 1972332 2301054 2684563 3068072 3451581 3944664 4547321 4602108 5369126 6903162 8053689 9094642 9204216 10738252 13641963 13806324 16107378 18189284 21476504 24161067 27283926 27612648 31831247 32214756 36378568 40925889 48322134 54567852 63662494 64429512 81851778 95493741 96644268 109135704 127324988 163703556 190987482 193288536 222818729 254649976 286481223 327407112 381974964 445637458 572962446 668456187 763949928 891274916 1145924892 1336912374 1782549832 2005368561 2291849784 2673824748 4010737122 5347649496 8021474244 16042948488