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406312195992 = 233316110938191
BaseRepresentation
bin1011110100110100001…
…10000001011110011000
31102211202121002011001120
411322122012001132120
523124111410232432
6510353544245240
741232536452533
oct5723206013630
91384677064046
10406312195992
111473527076aa
12668b5170820
132c4132b5161
141594663ba1a
15a880b4dc2c
hex5e9a181798

406312195992 has 128 divisors (see below), whose sum is σ = 1066842193920. Its totient is φ = 128786112000.

The previous prime is 406312195981. The next prime is 406312196041. The reversal of 406312195992 is 299591213604.

It is a super-2 number, since 2×4063121959922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49600617 + ... + 49608807.

It is an arithmetic number, because the mean of its divisors is an integer number (8334704640).

Almost surely, 2406312195992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406312195992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533421096960).

406312195992 is an abundant number, since it is smaller than the sum of its proper divisors (660529997928).

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

406312195992 is a wasteful number, since it uses less digits than its factorization.

406312195992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9385 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 406312195992 in words is "four hundred six billion, three hundred twelve million, one hundred ninety-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1093 1464 1891 2186 3279 3782 4372 5673 6558 7564 8191 8744 11346 13116 15128 16382 22692 24573 26232 32764 33883 45384 49146 65528 66673 67766 98292 101649 133346 135532 196584 200019 203298 253921 266692 271064 400038 406596 499651 507842 533384 761763 800076 813192 999302 1015684 1498953 1523526 1600152 1998604 2031368 2066863 2997906 3047052 3997208 4133726 5995812 6094104 6200589 8267452 8952763 11991624 12401178 15489181 16534904 17905526 24802356 26858289 30978362 35811052 46467543 49604712 53716578 61956724 71622104 92935086 107433156 123913448 185870172 214866312 277535653 371740344 546118543 555071306 832606959 1092237086 1110142612 1638355629 1665213918 2184474172 2220285224 3276711258 3330427836 4368948344 6553422516 6660855672 13106845032 16929674833 33859349666 50789024499 67718699332 101578048998 135437398664 203156097996 406312195992