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290061498996 = 22321913112792531
BaseRepresentation
bin1000011100010010000…
…00110011101001110100
31000201200212212212101100
410032021000303221310
514223021220431441
6341130304330100
726645665026633
oct4161100635164
91021625785340
10290061498996
11102018177405
1248271013930
1321477ac4799
141007922b51a
157829deccb6
hex4389033a74

290061498996 has 144 divisors (see below), whose sum is σ = 778608230400. Its totient is φ = 90792187200.

The previous prime is 290061498967. The next prime is 290061499009. The reversal of 290061498996 is 699894160092.

290061498996 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 614 + 9 + 8 + 9 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114602251 + ... + 114604781.

It is an arithmetic number, because the mean of its divisors is an integer number (5407001600).

Almost surely, 2290061498996 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 290061498996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389304115200).

290061498996 is an abundant number, since it is smaller than the sum of its proper divisors (488546731404).

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

290061498996 is a wasteful number, since it uses less digits than its factorization.

290061498996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 290061498996 in words is "two hundred ninety billion, sixty-one million, four hundred ninety-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1279 1572 2358 2489 2531 2558 3837 4716 4978 5062 5116 7467 7593 7674 9956 10124 11511 14934 15186 15348 22401 22779 23022 24301 29868 30372 44802 45558 46044 48089 48602 72903 89604 91116 96178 97204 144267 145806 167549 192356 218709 288534 291612 331561 335098 432801 437418 502647 577068 663122 670196 865602 874836 994683 1005294 1326244 1507941 1731204 1989366 2010588 2984049 3015882 3183431 3237149 3978732 5968098 6031764 6299659 6366862 6474298 9550293 9711447 11936196 12599318 12733724 12948596 18898977 19100586 19422894 25198636 28650879 29134341 37797954 38201172 38845788 56696931 57301758 58268682 61505831 75595908 113393862 114603516 116537364 123011662 184517493 226787724 246023324 369034986 424066519 553552479 738069972 848133038 1107104958 1272199557 1696266076 2214209916 2544399114 3816598671 5088798228 7633197342 8057263861 15266394684 16114527722 24171791583 32229055444 48343583166 72515374749 96687166332 145030749498 290061498996