Search a number
-
+
2490785901072 = 243272353002537
BaseRepresentation
bin100100001111101110011…
…010001010101000010000
322211010011011002211200100
4210033232122022220100
5311302112142313242
65144130134052400
7344644665555300
oct44175632125020
98733134084610
102490785901072
11880377785397
123428931aa100
13150b5977c3b1
14887aa089600
1544bcec4254c
hex243ee68aa10

2490785901072 has 90 divisors (see below), whose sum is σ = 8108821300398. Its totient is φ = 711653112576.

The previous prime is 2490785900879. The next prime is 2490785901077. The reversal of 2490785901072 is 2701095870942.

2490785901072 is a `hidden beast` number, since 2 + 49 + 0 + 7 + 8 + 590 + 1 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2115698247936 + 375087653136 = 1454544^2 + 612444^2 .

It is not an unprimeable number, because it can be changed into a prime (2490785901077) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176494213 + ... + 176508324.

Almost surely, 22490785901072 is an apocalyptic number.

It is an amenable number.

2490785901072 is an abundant number, since it is smaller than the sum of its proper divisors (5618035399326).

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

2490785901072 is a wasteful number, since it uses less digits than its factorization.

2490785901072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353002565 (or 353002549 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 2490785901072 in words is "two trillion, four hundred ninety billion, seven hundred eighty-five million, nine hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 353002537 706005074 1059007611 1412010148 2118015222 2471017759 2824020296 3177022833 4236030444 4942035518 5648040592 6354045666 7413053277 8472060888 9884071036 12708091332 14826106554 16944121776 17297124313 19768142072 22239159831 25416182664 29652213108 34594248626 39536284144 44478319662 50832365328 51891372939 59304426216 69188497252 88956639324 103782745878 118608852432 138376994504 155674118817 177913278648 207565491756 276753989008 311348237634 355826557296 415130983512 622696475268 830261967024 1245392950536 2490785901072